Declaration-by-declaration textbook coverage

3964 production declarations: 367 have newly authored complete teaching units; 1046 are audited data constructions with field-by-field explanations, not mathematical proofs; 16 are unresolved data constructions; 63 have existing notes not certified as complete textbook proofs; 2472 still need a complete exposition. This is documentation coverage, not Lean completion. The requested full-library teaching expansion is unfinished.

Source records and definitions require explanations of their meaning, not fictitious proofs. A compiled proposition definition is not a proof of that proposition. Read the separate data-construction audit.

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Declaration	Kind	Teaching coverage
`AutoSamplingTheory.AutomationStage`	inductive	needed
`AutoSamplingTheory.TaskKind`	inductive	needed
`AutoSamplingTheory.TaskStatus`	inductive	needed
`AutoSamplingTheory.AgentRole`	inductive	needed
`AutoSamplingTheory.AcceptanceGate`	structure	needed
`AutoSamplingTheory.ArtifactSpec`	structure	needed
`AutoSamplingTheory.AutomationTask`	structure	needed
`AutoSamplingTheory.AgentContract`	structure	needed
`AutoSamplingTheory.PostCycleArtifactKind`	inductive	needed
`AutoSamplingTheory.PostCycleArtifactSpec`	structure	needed
`AutoSamplingTheory.WorkflowCheckSpec`	structure	needed
`AutoSamplingTheory.leanBuildGate`	def	needed
`AutoSamplingTheory.forbiddenPatternGate`	def	needed
`AutoSamplingTheory.defaultGates`	def	needed
`AutoSamplingTheory.postCycleArtifactSpecs`	def	needed
`AutoSamplingTheory.workflowCheckSpecs`	def	needed
`AutoSamplingTheory.threeLayerAgentContracts`	def	needed
`AutoSamplingTheory.conversionArtifacts`	def	needed
`AutoSamplingTheory.seedAutomationTasks`	def	needed
`AutoSamplingTheory.automationTaskCount`	def	needed
`AutoSamplingTheory.ArtifactLanguage`	inductive	needed
`AutoSamplingTheory.ProofStatus`	inductive	needed
`AutoSamplingTheory.SourceKind`	inductive	needed
`AutoSamplingTheory.SourceAnchor`	structure	needed
`AutoSamplingTheory.ProofObligation`	structure	needed
`AutoSamplingTheory.TheoremContract`	structure	needed
`AutoSamplingTheory.ProofDagBlock`	structure	needed
`AutoSamplingTheory.forbiddenProofPatterns`	def	needed
`AutoSamplingTheory.sourceAnchor`	def	needed
`AutoSamplingTheory.localTexAnchor`	def	needed
`AutoSamplingTheory.ExampleCases.ProximalBPS.ConditionalBochner.conditional_bochner_energy`	theorem	authored
`AutoSamplingTheory.ExampleCases.ProximalBPS.ConditionalGradient.conditional_gradient_closable`	theorem	authored
`AutoSamplingTheory.ExampleCases.ProximalBPS.ConditionalResolvent.conditional_weak_resolvent`	theorem	authored
`AutoSamplingTheory.ExampleCases.ProximalBPS.ConditionalScore.reflected_conditional_covariance`	theorem	authored
`AutoSamplingTheory.ExampleCases.ProximalBPS.ConditionalScoreDomain.conditional_curvature_and_score_domain`	theorem	authored
`AutoSamplingTheory.ExampleCases.ProximalBPS.GaussianAugmentation.augmentation_eq_withDensity`	theorem	authored
`AutoSamplingTheory.ExampleCases.ProximalBPS.GaussianReflection.reflection_preserves_augmentation`	theorem	authored
`AutoSamplingTheory.ExampleCases.ProximalBPS.GibbsAugmentation.normalized_augmentation_density`	theorem	authored
`AutoSamplingTheory.ExampleCases.ProximalBPS.MacroscopicRepresentative.macroscopic_reflection_smooth_representative`	theorem	authored
`AutoSamplingTheory.ExampleCases.ProximalBPS.ReflectionL2.actual_reflection_block_identities`	theorem	authored
`AutoSamplingTheory.ExampleCases.SampleWiki.Cases.IdealProximalChain.kl_rate_from_reciprocal_step`	theorem	needed
`AutoSamplingTheory.ExampleCases.SampleWiki.SourceIdentity`	structure	needed
`AutoSamplingTheory.ExampleCases.SampleWiki.VerificationStage`	inductive	needed
`AutoSamplingTheory.ExampleCases.SampleWiki.admissibleForScientificGraph`	def	needed
`AutoSamplingTheory.ExampleCases.SampleWiki.assimilated_admissible`	theorem	needed
`AutoSamplingTheory.ExampleCases.SampleWiki.compiled_not_admissible`	theorem	needed
`AutoSamplingTheory.ExampleCases.SampleWiki.discovered_not_admissible`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.AdaptiveCenterRGO.adaptive_center_recovery`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.AdaptiveKLError.adaptive_center_kl_error`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ApproximateInitialGradientMoment.gaussian_square`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ApproximateInitialGradientMoment.gaussian_perturbation_square`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ApproximateInitialGradientMoment.lipschitz_square_bound`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ApproximateInitialGradientMoment.smoothing_square`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ApproximateInitialGradientMoment.coupling_square`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ApproximateInitialGradientMoment.wasserstein_square`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ApproximateInitialGradientMoment.regularized_gradient`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ApproximateInitialGradientMoment.approximate_initial_gradient_moment`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ClippedGradientProgram.clip`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ClippedGradientProgram.clip_bounds`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ClippedGradientProgram.clip_error`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ClippedGradientProgram.clipped_mean`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ClippedGradientProgram.clipped_normalizer`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ClippedGradientProgram.estimator`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ClippedGradientProgram.actual_clipped_input`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ClippedGradientProgram.Attempt`	abbrev	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ClippedGradientProgram.attempts`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ClippedGradientProgram.accepted`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ClippedGradientProgram.output`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ClippedGradientProgram.queryCount`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ClippedGradientProgram.actual_retry`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ClippedGradientProgram.clipped_gradient_program`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ClippedMeanExponential.product_bound`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ClippedMeanExponential.exponential_mean_bound`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ClippedMeanExponential.integrated_exponential_mean`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ClippedMeanExponential.clipped_density_transfer`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ClippedMeanExponential.estimator`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ClippedMeanExponential.actual_time_product`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ClippedMeanExponential.swap_time_preserving`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ClippedMeanExponential.swap_time_integrable`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ClippedMeanExponential.actual_proposal_bound`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ClippedMeanExponential.clipped_mean_exponential`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ClippedRenyiComparison.exponential_domination`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ClippedRenyiComparison.power_mean_exponential`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ClippedRenyiComparison.integrable_of_exponential_abs`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ClippedRenyiComparison.exponential_mean`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ClippedRenyiComparison.inverse_normalizer_power`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ClippedRenyiComparison.integral_exp_le_abs`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ClippedRenyiComparison.exponential_mean_square`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ClippedRenyiComparison.normalized_moments`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ClippedRenyiComparison.tilt_density_pair`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ClippedRenyiComparison.forward_density_power`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ClippedRenyiComparison.reverse_density_power`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ClippedRenyiComparison.rn_power_lintegral`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ClippedRenyiComparison.tilt_power_bounds`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ClippedRenyiComparison.step_implies_ideal`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ClippedRenyiComparison.estimator`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ClippedRenyiComparison.clipped_renyi_comparison`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.EnhancedFiniteOutputKL.klFun_le_square`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.EnhancedFiniteOutputKL.kl_le_second_moment`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.EnhancedFiniteOutputKL.actual_terminal_target`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.EnhancedFiniteOutputKL.kernel_error_sum`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.EnhancedFiniteOutputKL.composed_error_sum`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.EnhancedFiniteOutputKL.terminal_precision_large`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.EnhancedFiniteOutputKL.firstIndex`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.EnhancedFiniteOutputKL.scaledCached`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.EnhancedFiniteOutputKL.Attempt`	abbrev	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.EnhancedFiniteOutputKL.attemptLaw`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.EnhancedFiniteOutputKL.accepted`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.EnhancedFiniteOutputKL.output`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.EnhancedFiniteOutputKL.finite_output_kl`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.EnhancedKLOneStep.measurable_fiber_kl`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.EnhancedKLOneStep.conditional_kl_integral`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.EnhancedKLOneStep.composed_kl_bound`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.EnhancedKLOneStep.mixture_kl_bound`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.EnhancedKLOneStep.conditional_step`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.EnhancedKLOneStep.actual_gibbs_posterior`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.EnhancedKLOneStep.firstIndex`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.EnhancedKLOneStep.one_step_kl_error`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.EnhancedTerminalExecution.Precision.compatible`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.EnhancedTerminalExecution.Paths.termination`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.EnhancedTerminalExecution.Actual.firstIndex`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.EnhancedTerminalExecution.Actual.execution`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.EnhancedTerminalExecution.firstIndex`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.EnhancedTerminalExecution.scaledCached`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.EnhancedTerminalExecution.Attempt`	abbrev	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.EnhancedTerminalExecution.attemptLaw`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.EnhancedTerminalExecution.accepted`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.EnhancedTerminalExecution.output`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.EnhancedTerminalExecution.queryCount`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.EnhancedTerminalExecution.terminal_extension`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.EnhancedTerminalExecution.enhanced_terminal_execution`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.FiniteRGOKLError.finite_rgo_kl_error`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.FiniteRGOProgram.finite_rgo_program`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.GaussianArcLaw.centered_arc_rotation`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.GaussianArcLaw.affine_arc_law`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.GaussianArcLaw.arc_derivative`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.GaussianArcLaw.arc`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.GaussianArcLaw.velocity`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.GaussianArcLaw.arc_joint_measurable`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.GaussianArcLaw.arc_endpoints`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.GaussianArcLaw.gaussian_arc_law`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.GaussianKL.gaussian_kl_reverse_transport`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.GaussianMixture.bounded_displacement_reverse_transport`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.GaussianPowerMoment.gaussian_power_moment`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.GaussianRGOErrorBudget.gaussian_rgo_error_budget`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.GibbsPositionMoment.stationary_position_integrability`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.GibbsPositionMoment.coordinate_position_ibp`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.GibbsPositionMoment.gibbs_position_moment`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.GradientArcMean.arc`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.GradientArcMean.velocity`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.GradientArcMean.estimator`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.GradientArcMean.path_integral`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.GradientArcMean.potential_growth`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.GradientArcMean.potential_integrable`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.GradientArcMean.estimator_bound`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.GradientArcMean.estimator_integrable`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.GradientArcMean.auxiliary_mean`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.GradientArcMean.gradient_arc_mean`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.IdealRGOIdentification.smooth_lower`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.IdealRGOIdentification.regularized_lower`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.IdealRGOIdentification.ideal_volume_integrable`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.IdealRGOIdentification.translated_density`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.IdealRGOIdentification.ideal_gaussian_integrable`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.IdealRGOIdentification.tilt_change_density`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.IdealRGOIdentification.affine_gaussian_tilt`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.IdealRGOIdentification.ideal_volume_law`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.IdealRGOIdentification.estimator`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.IdealRGOIdentification.actual_mean_tilt`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.IdealRGOIdentification.ideal_rgo_identification`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.JointReferenceGradientDescent.joint_iterates`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.JointReferenceGradientDescent.jointIndex`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.JointReferenceGradientDescent.joint_stop`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.JointReferenceGradientDescent.actual_joint_program`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.JointReferenceGradientDescent.expected_count`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.JointReferenceGradientDescent.joint_reference_gradient_descent`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.LogarithmicDepth.terminal_depth`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.NormalizedReferenceCall.differential_scaling`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.NormalizedReferenceCall.scaled_gibbs`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.NormalizedReferenceCall.scaled_smoothing`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.NormalizedReferenceCall.scaled_wasserstein`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.NormalizedReferenceCall.regularized_hessian`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.NormalizedReferenceCall.normalized_laws`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.NormalizedReferenceCall.actualIndex`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.NormalizedReferenceCall.normalized_reference_call`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ObservationConditionalKernel.joint`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ObservationConditionalKernel.firstIndex`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ObservationConditionalKernel.actual_joint`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ObservationConditionalKernel.actual_conditional`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ObservationConditionalKernel.observation_conditional_kernel`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonQueryTail.poisson_power_integral`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonQueryTail.iid_prefix_law`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonQueryTail.unitUniform`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonQueryTail.unitUniform_probability`	instance	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonQueryTail.totalCost`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonQueryTail.failure_prefix_probability`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonQueryTail.totalCost_le_prefix`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonQueryTail.cost_tail_subset`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonQueryTail.poisson_exponential_integrable`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonQueryTail.poisson_exponential_moment`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonQueryTail.fixed_prefix_exponential_moment`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonQueryTail.fixed_prefix_chernoff`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonQueryTail.fixed_prefix_chernoff_shift`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonQueryTail.full_batch_cost_tail`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonQueryTail.failure_power_exponential_bound`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonQueryTail.actual_attempt_count_law`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonQueryTail.full_batch_cost_tail_of_budget`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonQueryTail.poisson_tail_budget`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonQueryTail.delta_log_budget`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonQueryTail.full_batch_cost_delta_tail`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonQueryTail.ceil_threshold_le_single_log`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonQueryTail.Attempt`	abbrev	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonQueryTail.attemptLaw`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonQueryTail.attemptLaw_probability`	instance	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonQueryTail.accepted`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonQueryTail.measurable_accepted`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonQueryTail.poisson_query_tail`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonRejection.poisson_power_integral`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonRejection.finite_auxiliary_product_mean`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonRejection.poisson_auxiliary_product_mean`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonRejection.bounded_estimator_mean`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonRejection.auxiliary_product_probability`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonRejection.unitUniform`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonRejection.unitUniform_Iic`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonRejection.uniform_acceptance_submeasure`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonRejection.uniform_acceptance_mass`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonRejection.finite_uniform_acceptance`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonRejection.poisson_uniform_acceptance`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonRejection.iid_prefix_law`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonRejection.infinite_uniform_acceptance`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonRejection.actual_poisson_acceptance`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonRejection.actual_accepted_proposal`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonRejection.failure_prefix_probability`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonRejection.first_hit_submeasure`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonRejection.never_hit_null`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonRejection.firstOutput`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonRejection.measurable_firstOutput`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonRejection.firstOutput_on_hit`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonRejection.firstOutput_law`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonRejection.surviving_current_law`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonRejection.totalCost`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonRejection.expected_totalCost`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonRejection.bounded_acceptance_mass`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonRejection.normalized_density_kernel`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonRejection.bounded_estimator_output_kernel`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonRejection.poisson_nat_mean`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonRejection.normalized_exp_tilt`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonRejection.Attempt`	abbrev	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonRejection.attemptLaw`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonRejection.accepted`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonRejection.measurable_accepted`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonRejection.attempt_count_mean`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.PoissonRejection.poisson_rejection_output`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ProximalEstimatorLipschitz.nonexpansive_of_monotone_optimality`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ProximalEstimatorLipschitz.proximal_estimator_lipschitz`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ProximalGaussianEstimator.parameterized_contraction_point`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ProximalGaussianEstimator.actual_proximal_minimizer`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ProximalGaussianEstimator.gaussian_square`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ProximalGaussianEstimator.actual_gaussian_gradient_moments`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ProximalGaussianEstimator.proximal_gaussian_estimator`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ProxyReverseTransport.proxy_reverse_transport`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.RGOBackward.rgo_backward_recovery`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.RGOCalculus.rgo_calculus`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.RGOClosure.quadratic_tilt_tilt`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.RecursiveCondition.contraction_bounds`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.RecursiveDepth.parameter_control`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.RecursiveVariance.variance_update_bounds`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ReferenceCarryingCost.regularized_hessian`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ReferenceCarryingCost.firstIndex`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ReferenceCarryingCost.statewise_cost`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ReferenceCarryingCost.integrate_actual_cost`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ReferenceCarryingCost.reference_carrying_cost`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ReferenceCarryingKernel.state_iterates`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ReferenceCarryingKernel.firstIndex`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ReferenceCarryingKernel.stopped_family`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ReferenceCarryingKernel.variable_reference`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ReferenceCarryingKernel.quadratic_source_alignment`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ReferenceCarryingKernel.scaled_reference_bound`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.ReferenceCarryingKernel.reference_carrying_kernel`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.SmoothGradientArcClipping.clipping_exp_domination`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.SmoothGradientArcClipping.clipping_integral_domination`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.SmoothGradientArcClipping.clipping_parameter_lower`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.SmoothGradientArcClipping.clipping_parameter_bounds`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.SmoothGradientArcClipping.clipArc`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.SmoothGradientArcClipping.clipVelocity`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.SmoothGradientArcClipping.smooth_gradient_arc_clipping`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.SmoothGradientArcMoment.gaussian_weighted_exp`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.SmoothGradientArcMoment.quadratic_integrable`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.SmoothGradientArcMoment.quadratic_integral_raw`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.SmoothGradientArcMoment.quadratic_integral`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.SmoothGradientArcMoment.basis_exp_product`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.SmoothGradientArcMoment.quadratic_stdGaussian`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.SmoothGradientArcMoment.sqrt_inv_le_exp`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.SmoothGradientArcMoment.quadratic_stdGaussian_bound`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.SmoothGradientArcMoment.linear_exp`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.SmoothGradientArcMoment.linear_abs_exp`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.SmoothGradientArcMoment.scaled_quadratic_bound`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.SmoothGradientArcMoment.gaussian_product_abs_moment`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.SmoothGradientArcMoment.positional_moment`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.SmoothGradientArcMoment.source_constants`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.SmoothGradientArcMoment.field_product_moment`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.SmoothGradientArcMoment.true_gradient_product_moment`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.SmoothGradientArcMoment.gradient_output_moment`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.SmoothGradientArcMoment.momentArc`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.SmoothGradientArcMoment.momentVelocity`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.SmoothGradientArcMoment.actual_gradient_arc_moment`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.SmoothGradientArcMoment.smooth_gradient_arc_moment`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.StateDependentRGO.state_dependent_recovery`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.StoppedGaussianRGOError.stopped_gaussian_rgo_error`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.StoppedRGODepth.stopped_rgo_depth`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalFORSKernel.state_iterates`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalFORSKernel.firstIndex`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalFORSKernel.stopped_family`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalFORSKernel.variable_reference`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalFORSKernel.gaussian_proposal`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalFORSKernel.scaledCached`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalFORSKernel.measurable_scaledCached`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalFORSKernel.Attempt`	abbrev	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalFORSKernel.attemptLaw`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalFORSKernel.accepted`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalFORSKernel.output`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalFORSKernel.queryCount`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalFORSKernel.actual_kernel_program`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalFORSKernel.cachedEstimator`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalFORSKernel.auxiliary_scale`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalFORSKernel.scaled_mean`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalFORSKernel.Stream.Attempt`	abbrev	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalFORSKernel.Stream.attemptLaw`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalFORSKernel.Stream.attemptMap`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalFORSKernel.Stream.accepted`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalFORSKernel.Stream.output`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalFORSKernel.Stream.queryCount`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalFORSKernel.Stream.stream_law`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalFORSKernel.Stream.stream_program`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalFORSKernel.Stream.stream_output_ae`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalFORSKernel.output_eq_stream`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalFORSKernel.source_correspondence`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalFORSKernel.terminal_fors_kernel`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalReferenceGradientDescent.gradient_decay`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalReferenceGradientDescent.stopping_certificate`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalReferenceGradientDescent.firstIndex`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalReferenceGradientDescent.stopped_program`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalReferenceGradientDescent.expected_count`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalReferenceGradientDescent.quadratic_upper`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalReferenceGradientDescent.regularized_data`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalReferenceGradientDescent.terminal_reference_gradient_descent`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalSamplerAccuracyCost.scaled_parameters`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalSamplerAccuracyCost.parameter_bounds`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalSamplerAccuracyCost.accuracy_error`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalSamplerAccuracyCost.rn_moment_positive`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalSamplerAccuracyCost.logarithmic_accuracy`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalSamplerAccuracyCost.cached_expected_cost`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalSamplerAccuracyCost.cached_cost_tail`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalSamplerAccuracyCost.cachedEstimator`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalSamplerAccuracyCost.Attempt`	abbrev	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalSamplerAccuracyCost.attemptLaw`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalSamplerAccuracyCost.accepted`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalSamplerAccuracyCost.output`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalSamplerAccuracyCost.queryCount`	def	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalSamplerAccuracyCost.actual_program`	theorem	needed
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TerminalSamplerAccuracyCost.terminal_sampler_accuracy_cost`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.Truncation.truncated_proxy`	theorem	authored
`AutoSamplingTheory.ExampleCases.SmoothedPicardHMC.TwoNoiseRGO.two_noise_rgo`	theorem	authored
`AutoSamplingTheory.ImplementationStatus`	inductive	needed
`AutoSamplingTheory.PaperMode`	inductive	needed
`AutoSamplingTheory.PaperEntry`	structure	needed
`AutoSamplingTheory.literature`	def	needed
`AutoSamplingTheory.literatureCount`	def	needed
`AutoSamplingTheory.OpenProblem`	structure	needed
`AutoSamplingTheory.openProblems`	def	needed
`AutoSamplingTheory.openProblemCount`	def	needed
`AutoSamplingTheory.lawMapEqOfAEEq`	theorem	authored
`AutoSamplingTheory.lawMapIntegral`	theorem	authored
`AutoSamplingTheory.lawMapIntegralHasDerivAtOfSample`	theorem	authored
`AutoSamplingTheory.lawIntegralHasDerivAtOfMeasureMapEqAndSample`	theorem	authored
`AutoSamplingTheory.lawMapIntegralHasDerivAtOfDominated`	theorem	authored
`AutoSamplingTheory.lawIntegralHasDerivAtOfMeasureMapEqAndDominated`	theorem	authored
`AutoSamplingTheory.lawMapProdEqOfAEEq`	theorem	authored
`AutoSamplingTheory.lawMapProdFst`	theorem	authored
`AutoSamplingTheory.lawMapProdSnd`	theorem	authored
`AutoSamplingTheory.lawMapProdSwap`	theorem	authored
`AutoSamplingTheory.condDistribAeEqCondExpKernelMap`	theorem	authored
`AutoSamplingTheory.condDistribIntegralSampleAeEqOfCondExpKernelMap`	theorem	authored
`AutoSamplingTheory.condDistribIntegralAEStronglyMeasurable`	theorem	authored
`AutoSamplingTheory.condDistribIntegralIntegrable`	theorem	authored
`AutoSamplingTheory.condDistribIntegralMapAEStronglyMeasurable`	theorem	authored
`AutoSamplingTheory.condDistribIntegralMapIntegrable`	theorem	authored
`AutoSamplingTheory.condDistribIntegralMapIntegral`	theorem	authored
`AutoSamplingTheory.condDistribIntegralNamedLawIntegral`	theorem	authored
`AutoSamplingTheory.condDistribIntegralNamedLawAEStronglyMeasurable`	theorem	authored
`AutoSamplingTheory.condDistribIntegralNamedLawIntegrable`	theorem	authored
`AutoSamplingTheory.condDistribIntegralNamedFieldRegularity`	theorem	authored
`AutoSamplingTheory.MeasureContract`	structure	authored
`AutoSamplingTheory.KLContract`	structure	authored
`AutoSamplingTheory.FIContract`	structure	authored
`AutoSamplingTheory.LSIContract`	structure	authored
`AutoSamplingTheory.PIContract`	structure	authored
`AutoSamplingTheory.TransportVelocityContract`	structure	authored
`AutoSamplingTheory.GuidedTiltContract`	structure	authored
`AutoSamplingTheory.DvVariationalFormulaInterface`	structure	authored
`AutoSamplingTheory.dvVariationalObligation`	def	authored
`AutoSamplingTheory.dvVariationalFormulaInterface`	def	authored
`AutoSamplingTheory.lsiKlFiSqrtDensitySquareScalar`	theorem	authored
`AutoSamplingTheory.lsiKlFiSqrtDensityEntropyIntegrandScalar`	theorem	authored
`AutoSamplingTheory.lsiKlFiSqrtDensityNormalizationScalar`	theorem	authored
`AutoSamplingTheory.lsiKlFiRnDerivLIntegralMassOne`	theorem	authored
`AutoSamplingTheory.lsiKlFiRnDerivDensityMassOne`	theorem	authored
`AutoSamplingTheory.lsiKlFiSqrtRnDerivTestMassOne`	theorem	authored
`AutoSamplingTheory.lsiKlFiRnDerivEntropyIntegral`	theorem	authored
`AutoSamplingTheory.lsiKlFiSqrtRnDerivEntropyIntegral`	theorem	authored
`AutoSamplingTheory.lsiKlFiSqrtDensityFisherChainScalar`	theorem	authored
`AutoSamplingTheory.lsiKlFiSqrtDensityFisherChainOfDerivativesScalar`	theorem	authored
`AutoSamplingTheory.lsiKlFiSqrtDensityFisherChainFiniteSumScalar`	theorem	authored
`AutoSamplingTheory.lsiKlFiSqrtDensityFisherChainFiniteSumHandoffScalar`	theorem	authored
`AutoSamplingTheory.lsiKlFiSqrtDensityFisherChainIntegralFiniteSum`	theorem	authored
`AutoSamplingTheory.lsiKlFiSqrtDensityFisherChainIntegralHandoffScalar`	theorem	authored
`AutoSamplingTheory.dvVariationalOneSidedConsequenceScalar`	theorem	authored
`AutoSamplingTheory.dvVariationalOneSidedFromSupremumScalar`	theorem	authored
`AutoSamplingTheory.dvFiniteLogMgfOfLeAlpha`	theorem	authored
`AutoSamplingTheory.dvVariationalOneSidedOfTiltedRight`	theorem	authored
`AutoSamplingTheory.dvVariationalOneSidedOfScaledTest`	theorem	authored
`AutoSamplingTheory.dvVariationalScaledTestEnergyBound`	theorem	authored
`AutoSamplingTheory.dvVariationalScaledTestEnergyBoundWithCoeff`	theorem	authored
`AutoSamplingTheory.dvVariationalTiltedRightOneSidedConsequence`	theorem	authored
`AutoSamplingTheory.lsiToKlFiObligation`	def	authored
`AutoSamplingTheory.RMFLD.rmfldPaperRoot`	def	needed
`AutoSamplingTheory.RMFLD.rmfldSource`	def	needed
`AutoSamplingTheory.RMFLD.exploratorySeedLabels`	def	needed
`AutoSamplingTheory.RMFLD.rmfldExploratoryContract`	def	needed
`AutoSamplingTheory.RMFLD.rmfldProofDag`	def	needed
`AutoSamplingTheory.SALD.saldPaperRoot`	def	data-unresolved
`AutoSamplingTheory.SALD.saldMainSource`	def	data-explained
`AutoSamplingTheory.SALD.saldAppendixSource`	def	data-explained
`AutoSamplingTheory.SALD.saldIterationSource`	def	data-explained
`AutoSamplingTheory.SALD.saldGronwallSource`	def	data-explained
`AutoSamplingTheory.SALD.saldGronwallExponentRewriteSource`	def	data-explained
`AutoSamplingTheory.SALD.saldDvVariationSource`	def	data-explained
`AutoSamplingTheory.SALD.saldPiSource`	def	data-explained
`AutoSamplingTheory.SALD.saldPiVelocityNormSource`	def	data-explained
`AutoSamplingTheory.SALD.saldKlFiLsiSource`	def	data-explained
`AutoSamplingTheory.SALD.saldContinuousSdeSource`	def	data-explained
`AutoSamplingTheory.SALD.saldFokkerPlanckSource`	def	data-explained
`AutoSamplingTheory.SALD.saldAlphaComplexitySource`	def	data-explained
`AutoSamplingTheory.SALD.saldForwardKlSource`	def	data-explained
`AutoSamplingTheory.SALD.saldForwardKlProofSource`	def	data-explained
`AutoSamplingTheory.SALD.saldForwardKlDerivativeSource`	def	data-explained
`AutoSamplingTheory.SALD.saldForwardKlDvEnergySource`	def	data-explained
`AutoSamplingTheory.SALD.saldForwardKlGronwallSource`	def	data-explained
`AutoSamplingTheory.SALD.saldForwardKlEndpointScheduleSource`	def	data-explained
`AutoSamplingTheory.SALD.saldForwardKlDependencyChainSource`	def	data-explained
`AutoSamplingTheory.SALD.saldForwardKlDiscreteSource`	def	data-explained
`AutoSamplingTheory.SALD.saldForwardKlDiscreteLipSource`	def	data-explained
`AutoSamplingTheory.SALD.saldForwardKlDiscreteInterpolationSource`	def	data-explained
`AutoSamplingTheory.SALD.saldFrozenDeltaCrossLipSaldSource`	def	data-explained
`AutoSamplingTheory.SALD.saldForwardKlDiscreteProofSource`	def	data-explained
`AutoSamplingTheory.SALD.saldForwardKlDiscreteDerivativeSource`	def	data-explained
`AutoSamplingTheory.SALD.saldForwardKlDiscreteConditionalFpSource`	def	data-explained
`AutoSamplingTheory.SALD.saldForwardKlDiscreteDvVelocitySource`	def	data-explained
`AutoSamplingTheory.SALD.saldForwardKlDiscreteGronwallSource`	def	data-explained
`AutoSamplingTheory.SALD.saldForwardKlDiscreteAccumulatedErrorSource`	def	data-explained
`AutoSamplingTheory.SALD.saldForwardKlDiscreteCoefficientChainSource`	def	data-explained
`AutoSamplingTheory.SALD.saldGuidedResidualSource`	def	data-explained
`AutoSamplingTheory.SALD.saldGuidedResidualProofSource`	def	data-explained
`AutoSamplingTheory.SALD.saldGeneralMovingTargetSource`	def	data-explained
`AutoSamplingTheory.SALD.saldGeneralMovingTargetDerivativeSource`	def	data-explained
`AutoSamplingTheory.SALD.saldGeneralMovingTargetDvGronwallSource`	def	data-explained
`AutoSamplingTheory.SALD.saldGeneralMovingTargetResidualDvSource`	def	data-explained
`AutoSamplingTheory.SALD.saldGeneralMovingTargetPureContractionSource`	def	data-explained
`AutoSamplingTheory.SALD.saldUnifiedForwardKlSource`	def	data-explained
`AutoSamplingTheory.SALD.saldUnifiedForwardKlProofSource`	def	data-explained
`AutoSamplingTheory.SALD.saldVaSaldItoSource`	def	data-explained
`AutoSamplingTheory.SALD.saldGuidedResidualMainSource`	def	data-explained
`AutoSamplingTheory.SALD.saldCorrectionFieldSource`	def	data-explained
`AutoSamplingTheory.SALD.saldUnifiedTransportBridgeSource`	def	data-explained
`AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteSource`	def	data-explained
`AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteEmSource`	def	data-explained
`AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteDeltaSource`	def	data-explained
`AutoSamplingTheory.SALD.saldFrozenDeltaCrossLipGeneralSource`	def	data-explained
`AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteDerivativeSource`	def	data-explained
`AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteConditionalDriftSource`	def	data-explained
`AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteWeakFpSource`	def	data-explained
`AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteKlWeakFpHandoffSource`	def	data-explained
`AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteConditionalKernelMathlibSource`	def	data-explained
`AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteCondDistribIntegralMathlibSource`	def	data-explained
`AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteWeakFpGeneratorMathlibSource`	def	data-explained
`AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteWeakFpDriftActionMathlibSource`	def	data-explained
`AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteKlLogRatioMathlibSource`	def	data-explained
`AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteYoungSource`	def	data-explained
`AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteResidualDvSource`	def	data-explained
`AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteGronwallSource`	def	data-explained
`AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteGronwallSideConditionSource`	def	data-explained
`AutoSamplingTheory.SALD.firstFaithfulLabels`	def	data-explained
`AutoSamplingTheory.SALD.GronwallCandidateContract`	structure	needed
`AutoSamplingTheory.SALD.GronwallEndpointCalculusContract`	structure	needed
`AutoSamplingTheory.SALD.GronwallExponentRewriteContract`	structure	needed
`AutoSamplingTheory.SALD.gronwallNegIntegralRewriteScalar`	theorem	needed
`AutoSamplingTheory.SALD.gronwallExpProductRewriteScalar`	theorem	needed
`AutoSamplingTheory.SALD.gronwallIntervalIntegralAdditivityScalar`	theorem	needed
`AutoSamplingTheory.SALD.gronwallExpProductRewriteIntervalIntegral`	theorem	needed
`AutoSamplingTheory.SALD.gronwallExpProductRewriteIntegralCongr`	theorem	needed
`AutoSamplingTheory.SALD.gronwallIntegratingFactorProductDerivative`	theorem	needed
`AutoSamplingTheory.SALD.gronwallIntegratingFactorDerivativeInequalityScalar`	theorem	needed
`AutoSamplingTheory.SALD.gronwallIntegratingFactorDerivativeLe`	theorem	needed
`AutoSamplingTheory.SALD.gronwallIntegratingFactorDerivativeLeOfIntegral`	theorem	needed
`AutoSamplingTheory.SALD.gronwallOrderIntegrationOfHasDerivAt`	theorem	needed
`AutoSamplingTheory.SALD.gronwallOrderIntegrationOfHasDerivRight`	theorem	needed
`AutoSamplingTheory.SALD.gronwallEndpointEvaluationScalar`	theorem	needed
`AutoSamplingTheory.SALD.gronwallEndpointMultiplyByExpNegScalar`	theorem	needed
`AutoSamplingTheory.SALD.gronwallEndpointIntegralRewrite`	theorem	needed
`AutoSamplingTheory.SALD.gronwallIntegratingFactorBoundOfDerivatives`	theorem	needed
`AutoSamplingTheory.SALD.gronwallIntegratingFactorBoundOfInteriorDerivatives`	theorem	needed
`AutoSamplingTheory.SALD.gronwallIntegratingFactorBoundOfIntegral`	theorem	needed
`AutoSamplingTheory.SALD.gronwallCoefficientSideConditionsOfContinuous`	theorem	needed
`AutoSamplingTheory.SALD.gronwallIntegratingFactorBoundOfContinuousData`	theorem	needed
`AutoSamplingTheory.SALD.gronwallIntegratingFactorBoundOfDifferentiable`	theorem	needed
`AutoSamplingTheory.SALD.gronwallIntegratingFactorBoundOfC1`	theorem	needed
`AutoSamplingTheory.SALD.gronwallIntegratingFactorBoundOfInteriorContinuousData`	theorem	needed
`AutoSamplingTheory.SALD.gronwallIntegratingFactorBoundOfInteriorC1`	theorem	needed
`AutoSamplingTheory.SALD.forwardKlGronwallCoeffIntervalIntegrable`	theorem	needed
`AutoSamplingTheory.SALD.forwardKlGronwallCoeffAdjacentIntervalIntegrable`	theorem	needed
`AutoSamplingTheory.SALD.forwardKlGronwallExpProductRewriteIntegralCongrOfPieces`	theorem	needed
`AutoSamplingTheory.SALD.forwardKlGronwallCoeffIntegralSub`	theorem	needed
`AutoSamplingTheory.SALD.forwardKlGronwallInitialExponentSplitScalar`	theorem	needed
`AutoSamplingTheory.SALD.forwardKlGronwallInitialExponentSplitOfPieces`	theorem	needed
`AutoSamplingTheory.SALD.forwardKlGronwallResidualExponentDropScalar`	theorem	needed
`AutoSamplingTheory.SALD.forwardKlGronwallResidualExponentDropIntegral`	theorem	needed
`AutoSamplingTheory.SALD.forwardKlDvPositiveAlphaScalingScalar`	theorem	needed
`AutoSamplingTheory.SALD.forwardKlDvPositiveAlphaCoefficientScalar`	theorem	needed
`AutoSamplingTheory.SALD.forwardKlPostDvGronwallCoefficientScalar`	theorem	needed
`AutoSamplingTheory.SALD.forwardKlPostDvGronwallCoefficientOfScheduleScalar`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetGronwallCoeffAdjacentIntervalIntegrable`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetGronwallExpProductRewriteIntegralCongrOfPieces`	theorem	needed
`AutoSamplingTheory.SALD.discreteForwardKlGronwallCoeffIntervalIntegrable`	theorem	needed
`AutoSamplingTheory.SALD.discreteForwardKlGronwallCoeffIntegralSubSub`	theorem	needed
`AutoSamplingTheory.SALD.discreteForwardKlGronwallInitialExponentSplitScalar`	theorem	needed
`AutoSamplingTheory.SALD.discreteForwardKlGronwallInitialExponentSplitOfPieces`	theorem	needed
`AutoSamplingTheory.SALD.discreteForwardKlResidualExponentBoundScalar`	theorem	needed
`AutoSamplingTheory.SALD.discreteForwardKlResidualExpBoundScalar`	theorem	needed
`AutoSamplingTheory.SALD.discreteForwardKlAlphaComplexityCollectionScalar`	theorem	needed
`AutoSamplingTheory.SALD.discreteForwardKlDeltaAccumulationScalar`	theorem	needed
`AutoSamplingTheory.SALD.discreteForwardKlAccumulatedErrorCollectionScalar`	theorem	needed
`AutoSamplingTheory.SALD.discreteForwardKlResidualIntegralDisplayBoundScalar`	theorem	needed
`AutoSamplingTheory.SALD.discreteForwardKlMainDisplayBoundScalar`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteConstantScheduleSquareScalar`	theorem	needed
`AutoSamplingTheory.SALD.discreteForwardKlTimeChangeSquareCoefficientRewriteScalar`	theorem	needed
`AutoSamplingTheory.SALD.discreteForwardKlPostDvTimeChangedDerivativeScalar`	theorem	needed
`AutoSamplingTheory.SALD.discreteForwardKlPointwiseGronwallInputOfPostDvTimeChanged`	theorem	needed
`AutoSamplingTheory.SALD.discreteForwardKlEmInterpolationLeftEndpointVector`	theorem	needed
`AutoSamplingTheory.SALD.discreteForwardKlEmInterpolationRightEndpointVector`	theorem	needed
`AutoSamplingTheory.SALD.discreteForwardKlLawEqOfPointwise`	theorem	needed
`AutoSamplingTheory.SALD.discreteForwardKlEmInterpolationLeftEndpointLawHandoff`	theorem	needed
`AutoSamplingTheory.SALD.discreteForwardKlEmInterpolationRightEndpointLawHandoff`	theorem	needed
`AutoSamplingTheory.SALD.discreteForwardKlEmEndpointLawPairHandoff`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmInterpolationLeftEndpointLawHandoff`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmInterpolationRightEndpointLawHandoff`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmEndpointLawPairHandoff`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmEndpointLawPairOfNamedInterpolation`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmEndpointMeasureMapPairOfNamedInterpolation`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmJointEndpointMeasureMapOfNamedInterpolation`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmJointEndpointMarginalLawsOfNamedInterpolation`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteHatRhoMarginalOfJointMap`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteHatRhoFirstMarginalOfSwappedJointMap`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteConditionalKernelCompatibilityOfJointMapMarginal`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEndpointConditionalCompatibilityOfJointMap`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteConditionalDriftLinearCombination`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteConditionalDriftFieldOfLinearCombination`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteNamedConditionalDriftComponents`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteNamedConditionalDriftRegularityHandoff`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteNamedConditionalDriftRegularityOfComponents`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteCondDistribNamedDriftRegularity`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteCondDistribCanonicalDriftRegularity`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteCondDistribNamedDriftRegularityOfCanonicalAeEq`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteCondDistribNamedBarBEqMeasOfStronglyMeasurable`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteNamedBarBCondExpOfSetIntegralEq`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteCondDistribNamedBarBAeEqOfCondExpKernelSourceDef`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteCondDistribNamedBarBAeEqOfCondExpSourceDef`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteCondDistribNamedBarBAeEqOfCondExpSetIntegralDef`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteNamedBarBSetIntegralOfStateEvents`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteCanonicalBarBCondExpOfCondDistrib`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteCanonicalBarBStateSetIntegralOfCondDistrib`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteNamedBarBStateEventIntegralAndIntegrableOfCanonicalAeEq`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteNamedBarBStateEventIntegralAndIntegrableOfCondExpSourceDef`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteCanonicalBarBStateEventIntegralAndIntegrableOfCondDistrib`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteNamedBarBStateEventIntegralAndIntegrableOfCanonicalPointwiseEq`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteCanonicalBarBEmStateEventInterface`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteCondDistribNamedBarBAeEqOfCondExpStateSetIntegralDef`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteNamedBarBComapRegularityOfStateField`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteCondDistribNamedBarBAeEqOfCondExpStateFieldSetIntegralDef`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteCondDistribNamedFieldAeEqOfSample`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteCondDistribNamedFieldAeEqOfCondExpKernelMap`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteCondDistribNamedDriftRegularityOfSampleVersions`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteConditionalKernelRegularityOfComponents`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteConditionalKernelRegularityOfSwappedComponents`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEndpointMeasureMapToSwappedConditionalCompatibility`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEndpointMeasureMapToConditionalCompatibility`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEndpointMeasureMapWeakFpPrereqHandoff`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEndpointConditionalDriftRegularityHandoff`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEndpointConditionalWeakFpReadinessHandoff`	theorem	needed
`AutoSamplingTheory.SALD.discreteForwardKlConditionalFpDivergenceDriftSplit`	theorem	needed
`AutoSamplingTheory.SALD.discreteForwardKlConditionalFpLaplacianSplitHandoff`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakConditionalFpSourceSignsHandoff`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakConditionalFpSourceSignsAdmissibleHandoff`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakConditionalFpSourceSignsOfGeneratorHandoff`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakConditionalFpSourceSignsOfGeneratorPiecesHandoff`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakConditionalFpDiffusionSourceOfLaplacianAction`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakConditionalFpLaplacianActionOfIntegrationByParts`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakConditionalFpDiffusionSourceOfLaplacianIntegrationByParts`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakConditionalFpLaplacianIbPOfGreenIdentity`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakConditionalFpDiffusionSourceOfGreenLaplacianIbP`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakConditionalFpDiffusionSourceOfFirstGreenNoBoundaryFlux`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakConditionalFpDiffusionSourceOfSecondGreenNoBoundaryFlux`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakConditionalFpDiffusionSourceOfSecondGreenTraceBoundary`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakConditionalFpSourceSignsOfSampleGeneratorPiecesHandoff`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakConditionalFpSourceSignsOfSampleSplitGeneratorHandoff`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakConditionalFpLawDerivativeOfSampleSplitGeneratorHandoff`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakConditionalFpNamedLawDerivativeOfSampleSplitGeneratorHandoff`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakConditionalFpNamedLawDerivativeOfDominatedSplitGeneratorHandoff`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakConditionalFpDriftSourceOfBarBWeakAction`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteBarBPairIntegrableOfNormBound`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteBarBWeakDivergenceOfNoBoundaryIntegral`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteBarBWeakDivergenceOfNoBoundaryBoundedPairing`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakConditionalFpDriftSourceOfBarBNoBoundaryIntegral`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakConditionalFpDriftSourceOfBarBBoundedNoBoundaryIntegral`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteBarBWeakDivergenceOfNoBoundaryBoundedPairingWeakGradDef`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakConditionalFpDriftSourceOfBarBBoundedNoBoundaryWeakGradDef`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteBarBPairNormBoundOfInnerGradientBound`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteBarBWeakDivergenceOfNoBoundaryInnerGradientBound`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakConditionalFpDriftSourceOfBarBInnerGradientBound`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteDriftDivNoBoundaryOfProductRule`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakConditionalFpDriftSourceOfBarBInnerGradientProductRuleBoundary`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteCanonicalBarBWeakConditionalFpNamedLawDerivativeOfDominated`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteCanonicalBarBWeakConditionalFpNamedLawDerivativeOfEmIntervalDominated`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteCanonicalBarBWeakConditionalFpNamedLawDerivativeOfEmIntervalMeasDominated`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteCanonicalBarBWeakConditionalFpNamedLawDerivativeOfEmIntervalMeasIntDominated`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteCanonicalBarBWeakConditionalFpNamedLawDerivativeOfEmIntervalMeasIntDerivMeasDominated`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteCanonicalBarBWeakConditionalFpNamedLawDerivativeOfEmIntervalMeasIntDerivMeasBoundDominated`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteCanonicalBarBWeakConditionalFpNamedLawDerivativeOfEmIntervalMeasIntDerivMeasBoundIntDominated`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteCanonicalBarBWeakConditionalFpNamedLawDerivativeOfEmIntervalMeasIntDerivMeasBoundIntPathDominated`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteCanonicalBarBWeakConditionalFpNamedLawDerivativeOfEmIntervalMeasIntDerivMeasBoundIntPathValueDominated`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteCanonicalBarBWeakConditionalFpNamedLawDerivativeOfEmIntervalMeasIntDerivMeasBoundIntPathValueDriftActionDominated`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteCanonicalBarBWeakConditionalFpNamedLawDerivativeOfEmIntervalMeasIntDerivMeasBoundIntPathValueDriftActionPairMeasDominated`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteCanonicalBarBWeakConditionalFpNamedLawDerivativeOfEmIntervalMeasIntDerivMeasBoundIntPathValueDriftActionPairMeasNoBoundaryTraceDominated`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteCanonicalBarBWeakConditionalFpNamedLawDerivativeOfEmIntervalMeasIntDerivMeasBoundIntPathValueDriftActionPairMeasNoBoundaryTraceCanonicalMeasDominated`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteCanonicalBarBWeakConditionalFpNamedLawDerivativeOfEmIntervalMeasIntDerivMeasBoundIntPathValueDriftActionPairMeasNoBoundaryTraceCanonicalMeasDiffusionSourceDominated`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteZeroBoundaryFluxOfTraceProductZero`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteTraceProductZeroOfTestTraceZero`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteBoundaryFluxIntegralOfDivergenceTheoremBox`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakConditionalFpDiffusionSourceOfSecondGreenBoxBoundaryFlux`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakConditionalFpDiffusionSourceOfSecondGreenBoxBoundaryFluxOfTestTraceZero`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakConditionalFpDiffusionSourceOfSecondGreenBoxBoundaryFluxOfTraceEqTestTraceZero`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakConditionalFpDiffusionSourceOfSecondGreenBoxBoundaryFluxOfPointwiseTraceEqTestTraceZero`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakConditionalFpDiffusionSourceOfSecondGreenBoxBoundaryFluxOfPointwiseTraceEqPointwiseTestTraceZero`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakConditionalFpDiffusionSourceOfSecondGreenBoxBoundaryFluxOfPointwiseTraceEqPointwiseTestTraceZeroOfTestLaplacianNormalization`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteTestLaplacianLocalOfOperatorNormalization`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteTestLaplacianOperatorNormalizationOfSourcePullback`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteTestLaplacianPointwiseOfSourcePullback`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteSourceTestLaplacianEqStdIteratedFDeriv`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakFpLaplacianDefOfStdBasisSourceFormula`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteDensityLaplacianStdBasisDefOfPointwiseSourceFormula`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteSourceDensityLaplacianStdBasisOfLaplacianSourceField`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakFpStdBasisDefOfSourceDensityLaplacianFormula`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakFpDensityLaplacianActionOfPointwiseWeakLaplacianIbP`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakFpStdBasisDefOfPointwiseWeakLaplacianIbP`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscretePointwiseWeakLaplacianIbPOfGreenIdentity`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakFpStdBasisDefOfPointwiseGreenIdentity`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteSecondGreenPointwiseOfBoxBoundaryFluxOfPointwiseTraceEqPointwiseTestTraceZero`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakFpStdBasisDefOfPointwiseGreenSecondGreenBoxBoundaryFlux`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteFirstGreenPointwiseOfBoundaryFluxZero`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakFpStdBasisDefOfFirstGreenBoundaryFluxAndSecondGreenBoxBoundaryFlux`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteTestLaplacianActionDefOfStdBasisSourceFormula`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteTestLaplacianPointwiseOfTestStdBasisSourceFormula`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakFpSourceActionDefOfStateIntegral`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakFpSourceActionDefOfSourceLaplacianStateIntegral`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteSourceLaplacianFieldMeasOfSelectedTestLaplacianMeasurable`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteSelectedTestLaplacianMeasurableOfContinuous`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteLaplacianSourceStateIntegralOfEmGeneratorStateIntegral`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfLawIntegral`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfSourceFunctional`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakFpSourceActionDefOfEmGeneratorStateIntegral`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakFpSourceActionDefOfEmGeneratorLawIntegral`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakFpSourceActionDefOfEmGeneratorSourceFunctional`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorSourceActionDefOfStdBasisSourceFormula`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfStdBasisSourceFunctional`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakFpSourceActionDefOfEmGeneratorStdBasisSourceFormula`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorStdBasisDefOfTraceField`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfTraceFieldSourceFunctional`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakFpSourceActionDefOfEmGeneratorTraceFieldSourceFormula`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakFpSourceActionDefOfEmGeneratorTraceLawIntegralSourceFormula`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorTraceLawIntegralOfStateIntegral`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakFpSourceActionDefOfEmGeneratorTraceStateIntegralSourceFormula`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorTraceFieldMeasOfSourceLaplacianFieldMeas`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorTraceStateIntegralOfLaplacianStateIntegral`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorTraceStateIntegralOfLaplacianStateIntegralLaplacianField`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakFpSourceActionDefOfEmGeneratorTraceLaplacianStateIntegralSourceFormula`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakFpSourceActionDefOfEmGeneratorTraceLaplacianLawIntegralSourceFormula`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorLaplacianLawIntegralOfStateEventFormula`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateEventEqOfPointwise`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorLaplacianTotalEventIntegralOfActionDef`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorLaplacianTotalEventIntegralOfSourceFunctional`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorLaplacianTotalEventIntegralOfStdBasisSourceFunctional`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldEqOfStdBasisSourceFormula`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorLaplacianTotalEventIntegralOfStdBasisSourceAndEventFormula`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakFpSourceActionDefOfEmGeneratorTraceLaplacianStateEventFormula`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakFpSourceActionDefOfEmGeneratorTraceLaplacianPointwiseEventFormula`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakFpSourceActionDefOfEmGeneratorTraceLaplacianPointwiseEventActionDefFormula`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakFpSourceActionDefOfEmGeneratorTraceLaplacianStdBasisEventActionDefFormula`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorLaplacianActionDefOfStdBasisActionFormula`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakFpSourceActionDefOfEmGeneratorTraceLaplacianStdBasisEventStdBasisActionFormula`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStdBasisActionDefOfLawIntegralFormula`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakFpSourceActionDefOfEmGeneratorTraceLaplacianStdBasisEventLawIntegralFormula`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldStdBasisDefOfTraceField`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorTraceFieldStdBasisOfLaplacianField`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorTraceFieldEqLaplacianOfPointwise`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorTraceFieldPointwiseStdBasisOfEventFieldStdBasis`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorTraceFieldPointwiseEqLaplacianOfStdBasis`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldStdBasisDefOfPointwise`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldPointwiseStdBasisDefOfPointwiseLaplacian`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldEqLaplacianOfPointwiseScalar`	theorem	needed
`AutoSamplingTheory.SALD.emFrozenBrownianLaplacianEventField`	def	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldPointwiseEqLaplacianOfBrownianDef`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldBrownianDefOfPointwise`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldBrownianPointwiseDefOfStdBasis`	theorem	needed
`AutoSamplingTheory.SALD.emFrozenScalarBrownianItoGeneratorEventField`	def	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldBrownianPointwiseStdBasisDefOfFrozenScalarBrownianItoGenerator`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoGeneratorDefOfPointwise`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoPointwiseDefOfCoordinateGenerator`	theorem	needed
`AutoSamplingTheory.SALD.emFrozenScalarBrownianItoOneDimTaylorGenerator`	def	needed
`AutoSamplingTheory.SALD.gaussianRealZeroSecondMoment`	theorem	needed
`AutoSamplingTheory.SALD.gaussianRealZeroOneDimTaylorMomentContribution`	theorem	needed
`AutoSamplingTheory.SALD.gaussianRealLinearQuadraticTaylorSummandsIntegrable`	theorem	needed
`AutoSamplingTheory.SALD.selectedWeakTestFrozenScalarBrownianItoTaylorMomentDecompositionOfIntegralDefs`	theorem	needed
`AutoSamplingTheory.SALD.selectedWeakTestFrozenScalarBrownianItoTaylorMomentDecompositionOfIntegralDefsAndGaussianPolynomialIntegrability`	theorem	needed
`AutoSamplingTheory.SALD.selectedWeakTestFrozenScalarBrownianItoTaylorMomentDecompositionOfIntegralDefsAndDominatedRemainder`	theorem	needed
`AutoSamplingTheory.SALD.selectedWeakTestBrownianCoordinateGeneratorTaylorIntegralDefOfSourceIntegralAndAE`	theorem	needed
`AutoSamplingTheory.SALD.selectedWeakTestBrownianCoordinateGeneratorTaylorIntegrandAEOfPointwise`	theorem	needed
`AutoSamplingTheory.SALD.selectedWeakTestSourceTaylorIntegrandRawDefOfSelectedIncrementAndLineDef`	theorem	needed
`AutoSamplingTheory.SALD.selectedWeakTestSelectedIncrementCoordinateLineDefOfEndpointAndLineDef`	theorem	needed
`AutoSamplingTheory.SALD.selectedWeakTestSourceTaylorIntegrandRawDefOfSelectedIncrementEndpointAndLineDef`	theorem	needed
`AutoSamplingTheory.SALD.selectedWeakTestSourceTaylorIntegrandDefOfRawAndLineTaylorSplit`	theorem	needed
`AutoSamplingTheory.SALD.selectedWeakTestSelectedLineTaylorSplitDefOfRawTaylorAndTermDefs`	theorem	needed
`AutoSamplingTheory.SALD.selectedWeakTestSourceTaylorIntegrandPointwiseOfLineTermDefs`	theorem	needed
`AutoSamplingTheory.SALD.selectedWeakTestSourceLinearTermDefOfScalarLineFirstCoeffDef`	theorem	needed
`AutoSamplingTheory.SALD.selectedWeakTestSourceQuadraticTermDefOfScalarLineTaylorCoeffDef`	theorem	needed
`AutoSamplingTheory.SALD.selectedWeakTestBrownianCoordinateGeneratorTaylorIntegralDefOfSourceIntegralRawTaylorAndTermDefs`	theorem	needed
`AutoSamplingTheory.SALD.selectedWeakTestQuadraticCoeffDefOfSecondTaylorCoeffDef`	theorem	needed
`AutoSamplingTheory.SALD.selectedWeakTestVarianceOneOfNormalizedBrownianVarianceDef`	theorem	needed
`AutoSamplingTheory.SALD.selectedWeakTestNormalizedVarianceDefOfGaussianRealUnitLaw`	theorem	needed
`AutoSamplingTheory.SALD.selectedWeakTestNormalizedCoordinateLawOfStdGaussianVectorLaw`	theorem	needed
`AutoSamplingTheory.SALD.selectedWeakTestBrownianCoordinateGeneratorSourceIntegralDefOfStdGaussianVectorLaw`	theorem	needed
`AutoSamplingTheory.SALD.selectedWeakTestRemainderGeneratorLimitDefOfStdGaussianVectorLaw`	theorem	needed
`AutoSamplingTheory.SALD.selectedWeakTestRemainderMeasOfStdGaussianVectorLaw`	theorem	needed
`AutoSamplingTheory.SALD.selectedWeakTestRemainderBoundOfStdGaussianVectorLaw`	theorem	needed
`AutoSamplingTheory.SALD.selectedWeakTestRemainderBoundIntegrableOfStdGaussianVectorLaw`	theorem	needed
`AutoSamplingTheory.SALD.selectedWeakTestBrownianCoordinateGeneratorNormalizedLawDefOfScalarPushforward`	theorem	needed
`AutoSamplingTheory.SALD.selectedWeakTestBrownianCoordinateGeneratorSourceIntegralDefOfScalarPushforwardAndStdGaussianVectorLaw`	theorem	needed
`AutoSamplingTheory.SALD.selectedWeakTestBrownianCoordinateGeneratorTaylorIntegralDefOfScalarPushforwardRawTaylorAndTermDefs`	theorem	needed
`AutoSamplingTheory.SALD.selectedWeakTestRemainderGeneratorNormalizedLawDefOfScalarPushforward`	theorem	needed
`AutoSamplingTheory.SALD.selectedWeakTestRemainderGeneratorLimitDefOfScalarPushforwardAndStdGaussianVectorLaw`	theorem	needed
`AutoSamplingTheory.SALD.selectedWeakTestFrozenScalarBrownianItoTaylorMomentDecompositionOfIntegralDefsDominatedRemainderAndRemainderLimitScalarPushforward`	theorem	needed
`AutoSamplingTheory.SALD.selectedWeakTestFrozenScalarBrownianItoTaylorMomentDecompositionOfScalarPushforwardRawTaylorAndDominatedRemainder`	theorem	needed
`AutoSamplingTheory.SALD.selectedWeakTestQuadraticVariationNormalizationOfCoeffDefAndVarianceOne`	theorem	needed
`AutoSamplingTheory.SALD.selectedWeakTestQuadraticVariationNormalizationOfSecondTaylorCoeffAndNormalizedVarianceDef`	theorem	needed
`AutoSamplingTheory.SALD.gaussianRealNormalizedTaylorRemainderIntegralTendstoZeroOfDCT`	theorem	needed
`AutoSamplingTheory.SALD.gaussianRealSelectedTestLineSecondOrderTaylorRemainderPointwiseAE`	theorem	needed
`AutoSamplingTheory.SALD.gaussianRealNormalizedTaylorRemainderIntegralTendstoZeroOfSelectedTestLineEq`	theorem	needed
`AutoSamplingTheory.SALD.gaussianRealSelectedTestLineSecondOrderNormalizedRemainder`	def	needed
`AutoSamplingTheory.SALD.gaussianRealSelectedTestLineSecondOrderNormalizedRemainderSourceEq`	theorem	needed
`AutoSamplingTheory.SALD.gaussianRealSelectedTestLineSecondOrderNormalizedRemainderIntegralTendstoZero`	theorem	needed
`AutoSamplingTheory.SALD.gaussianRealSelectedTestLineSecondOrderNormalizedRemainderEventuallyAEStronglyMeasurable`	theorem	needed
`AutoSamplingTheory.SALD.gaussianRealSelectedTestLineSecondOrderTaylorQuotientBoundOfFirstOrderAndSecondCoeff`	theorem	needed
`AutoSamplingTheory.SALD.gaussianRealSelectedTestLineSecondOrderNormalizedRemainderQuadraticBoundOfTaylorQuotientBound`	theorem	needed
`AutoSamplingTheory.SALD.gaussianRealSelectedTestLineFirstOrderTaylorQuotientBoundOfQuadraticRemainder`	theorem	needed
`AutoSamplingTheory.SALD.gaussianRealSelectedTestLineFirstOrderQuadraticRemainderBoundNonnegOfIntervalTaylor`	theorem	needed
`AutoSamplingTheory.SALD.gaussianRealSelectedTestLineFirstOrderQuadraticRemainderBoundOfSignedIntervalTaylor`	theorem	needed
`AutoSamplingTheory.SALD.gaussianRealSelectedTestLineFirstOrderTaylorReflectSetUniv`	theorem	needed
`AutoSamplingTheory.SALD.gaussianRealSelectedTestLineFirstOrderTaylorCompatOfDifferentiableAt`	theorem	needed
`AutoSamplingTheory.SALD.gaussianRealSelectedTestLineFirstOrderQuadraticRemainderBoundOfSignedIntervalTaylorNoReflect`	theorem	needed
`AutoSamplingTheory.SALD.gaussianRealSelectedTestLineFirstOrderQuadraticRemainderBoundOfSignedIntervalTaylorBaseDiff`	theorem	needed
`AutoSamplingTheory.SALD.gaussianRealSelectedTestLineContDiffOnOfSourceContDiffOn`	theorem	needed
`AutoSamplingTheory.SALD.gaussianRealSelectedTestLineFirstOrderQuadraticRemainderBoundOfGlobalLineContDiff`	theorem	needed
`AutoSamplingTheory.SALD.gaussianRealSelectedTestLineFirstOrderQuadraticRemainderBoundOfSourceContDiffOn`	theorem	needed
`AutoSamplingTheory.SALD.gaussianRealSelectedTestLineFirstOrderQuadraticRemainderBoundOfSourceContDiffOnAndLineSecondBounds`	theorem	needed
`AutoSamplingTheory.SALD.gaussianRealSelectedTestLineSecondDerivEqDirectionalFDeriv`	theorem	needed
`AutoSamplingTheory.SALD.selectedWeakTestScalarLineSecondCoeffDefOfTaylorCoeffWithin`	theorem	needed
`AutoSamplingTheory.SALD.selectedWeakTestSecondTaylorCoeffDefOfScalarLineSecondCoeffDef`	theorem	needed
`AutoSamplingTheory.SALD.selectedWeakTestQuadraticVariationNormalizationOfScalarLineSecondCoeffAndNormalizedVarianceDef`	theorem	needed
`AutoSamplingTheory.SALD.gaussianRealSelectedTestLineSecondBoundsOfDirectionalSecondBound`	theorem	needed
`AutoSamplingTheory.SALD.gaussianRealSelectedTestDirectionalSecondBoundOfSecondFDerivOpNorm`	theorem	needed
`AutoSamplingTheory.SALD.gaussianRealSelectedTestSecondFDerivOpNormOfFDerivFDerivOpNorm`	theorem	needed
`AutoSamplingTheory.SALD.selectedWeakTestHessianOpNormOfSourceHessianField`	theorem	needed
`AutoSamplingTheory.SALD.gaussianRealStdOrthonormalBasisUnit`	theorem	needed
`AutoSamplingTheory.SALD.gaussianRealSelectedTestDirectionalSecondBoundOfSecondFDerivOpNormStdOrthonormalBasis`	theorem	needed
`AutoSamplingTheory.SALD.gaussianRealSelectedTestLineFirstOrderQuadraticRemainderBoundOfSourceContDiffOnAndDirectionalSecondBound`	theorem	needed
`AutoSamplingTheory.SALD.gaussianRealSelectedTestStdOrthonormalFirstOrderQuadraticRemainderBoundOfSourceHessianField`	theorem	needed
`AutoSamplingTheory.SALD.gaussianRealSelectedTestLineSecondOrderQuadraticBoundIntegrable`	theorem	needed
`AutoSamplingTheory.SALD.selectedWeakTestNormalizedRemainderBoundIntOfQuadraticBound`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoOneDimTaylorOfGaussianMomentRemainder`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoCoordinateGeneratorDefOfOneDimTaylor`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorLaplacianTotalEventIntegralOfTraceFieldSourceAndEventFormula`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorTraceActionDefOfTraceLawIntegral`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfTraceLawIntegralLaplacianField`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorLaplacianStateIntegralOfTraceStateIntegralLaplacianField`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorLaplacianTotalEventIntegralOfTraceLawIntegralSourceAndEventFormula`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorLaplacianTotalEventIntegralOfTraceStateIntegralSourceAndEventFormula`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorLaplacianTotalEventIntegralOfTraceLaplacianStateIntegralSourceAndEventFormula`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakFpSourceActionDefOfEmGeneratorTraceLaplacianTraceEventLawIntegralFormula`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakFpSourceActionDefOfEmGeneratorTraceLaplacianTraceEventTotalEventFormula`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakFpSourceActionDefOfEmGeneratorTraceLaplacianTraceEventTotalEventTraceLaplacianFormula`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldEqTraceFieldOfLaplacianFields`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldEqSourceFieldOfStdBasisFields`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakFpSourceFieldStdBasisDefOfLaplacianField`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakFpSourceFieldEqLaplacianOfPointwise`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorLaplacianEventFieldEqLaplacianOfWeakFpSourceField`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorLaplacianTotalEventIntegralOfTraceLaplacianStateIntegralSourceAndPointwiseEventFormula`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakFpSourceActionDefOfEmGeneratorTraceLaplacianPointwiseEventTotalEventTraceLaplacianFormula`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakFpSourceActionDefOfEmGeneratorTraceLaplacianPointwiseEventActionDefTraceLaplacianFormula`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmGeneratorLaplacianActionDefOfStdBasisActionPointwiseEventFormula`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakFpSourceActionDefOfEmGeneratorTraceLaplacianPointwiseEventStdBasisActionTraceLaplacianFormula`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakFpSourceActionDefOfEmGeneratorTraceLaplacianPointwiseEventLawIntegralTraceLaplacianFormula`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakFpSourceActionDefOfEmGeneratorTraceLaplacianPointwiseEventStateEventTraceLaplacianFormula`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakFpLaplacianDefOfSourceLaplacianField`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteTestLaplacianPointwiseOfWeakFpSourceLaplacianField`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteTestLaplacianOperatorNormalizationOfStdBasisSourceFormula`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakConditionalFpDiffusionSourceOfSecondGreenBoxBoundaryFluxOfPointwiseTraceEqPointwiseTestTraceZeroOfStdBasisSourceFormula`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakConditionalFpDiffusionSourceOfSecondGreenBoxBoundaryFluxOfPointwiseTraceEqPointwiseTestTraceZeroOfSourceLaplacianPullback`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteHatRhoBarBWeightedFieldContinuousOnBox`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteHatRhoBarBWeightedFieldHasFDerivAt`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteHatRhoBarBWeightedFieldHasFDerivAtOffUnion`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteBoundaryFluxIntegralOfHatRhoBarBBox`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteBoundaryFluxIntegralOfHatRhoBarBBoxProductDeriv`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakConditionalFpDriftSourceOfBarBInnerGradientTraceBoundary`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakConditionalFpDriftSourceOfBarBInnerGradientTraceBoundaryOfTestTraceZero`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakConditionalFpDriftActionOfBarBComponentPairings`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakConditionalFpDriftSourceOfBarBComponentPairings`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteCondDistribComponentWeakPairingOfAeVersion`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteCondDistribComponentWeakPairingOfIntegralAction`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakConditionalFpLawDerivativeOfSampleSplitGeneratorBarBActionHandoff`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakConditionalFpSourceSignsOfSampleSplitGeneratorBarBActionHandoff`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakConditionalFpSourceSignsOfReadinessAndGeneratorPiecesHandoff`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEndpointConditionalWeakFpSourceSignsHandoff`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteKlDerivativeWeakFpHandoffScalar`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteKlDerivativeWeakFpHandoffOfSourceSigns`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteKlDerivativeWeakFpHandoffOfSourceSignsWithLogAction`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteKlDerivativeMassConservationDropScalar`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteKlDerivativeWeakFpHandoffOfRawKlAndSourceSignsWithLogAction`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteKlMassTermZeroOfLawConstantTestDerivative`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteKlDerivativeWeakFpHandoffOfLawConstantTestMassAndSourceSignsWithLogAction`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteKlLogRatioLlrDef`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteKlLogRatioRegularityOfFiniteKl`	theorem	needed
`AutoSamplingTheory.SALD.GeneralMovingTargetDiscreteKlLogRatioAdmissibilityClosure`	structure	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteKlLogRatioAdmissibleOfFiniteKlClosure`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteKlDerivativeWeakFpHandoffOfFiniteKlLlrLawConstantTestMassWithLogAction`	theorem	needed
`AutoSamplingTheory.SALD.GeneralMovingTargetDiscreteRawKlDerivativeAtFiniteKlLlr`	structure	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteRawKlDerivativeAtFiniteKlLlrHklRaw`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteKlDerivativeWeakFpHandoffOfRawKlBoundaryAtFiniteKlLlrWithLogAction`	theorem	needed
`AutoSamplingTheory.SALD.GeneralMovingTargetDiscreteRawKlDerivativeNoMassAtFiniteKlLlr`	structure	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteRawKlDerivativeNoMassAtFiniteKlLlrHkl`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteKlDerivativeWeakFpHandoffOfNoMassRawKlBoundaryAtFiniteKlLlrWithLogAction`	theorem	needed
`AutoSamplingTheory.SALD.GeneralMovingTargetDiscretePureRawKlDerivativeNoMassAtFiniteKlLlr`	structure	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscretePureRawKlDerivativeNoMassAtFiniteKlLlrHkl`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteKlDerivativeWeakFpHandoffOfPureNoMassRawKlBoundaryAtFiniteKlLlrWithLogAction`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteTargetTimeDerivativeOfDominated`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteTargetTimeDerivativeSourceRatioCongr`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscretePureRawKlTargetTimeFieldsOfDominated`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteKlDerivativeWeakFpHandoffOfAdmissibleSourceSigns`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteKlDerivativeWeakFpHandoffOfGeneratorPieces`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEndpointConditionalKlDerivativeWeakFpHandoff`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEndpointConditionalKlDerivativeWeakFpHandoffWithLogAction`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteConditionalFpSourceSignsHandoff`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteConditionalFpSigmaLaplacianSplitHandoff`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteResidualCoefficientRewriteScalar`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteGammaCoefficientRewriteScalar`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteDeltaCoefficientRewriteScalar`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteFrozenResidualAlgebraVector`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteYoungFisherShareScalar`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteTwoYoungFisherBudgetScalar`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteResidualYoungCoefficientScalar`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscretePostYoungDerivativeBoundScalar`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscretePostLsiDerivativeBoundScalar`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscretePostDvDerivativeBoundScalar`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteTimeChangedDerivativeBoundScalar`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteDerivativeDvTimeChangedScalar`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscretePointwiseGronwallInputOfPostDvTimeChanged`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteGronwallNamedCoefficientInput`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteGronwallEndpointRewriteScalar`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteGronwallDisplayBridgeScalar`	theorem	needed
`AutoSamplingTheory.SALD.piVelocityNormMeanZeroH1UpperScalar`	theorem	needed
`AutoSamplingTheory.SALD.piVelocityNormBoundedFunctionalScalar`	theorem	needed
`AutoSamplingTheory.SALD.lsiKlFiCoefficientAuditScalar`	theorem	needed
`AutoSamplingTheory.SALD.lsiKlFiDensityTestBridgeScalar`	theorem	needed
`AutoSamplingTheory.SALD.lsiKlFiHalfFisherScalar`	theorem	needed
`AutoSamplingTheory.SALD.lsiKlFiDensityTestHalfFisherScalar`	theorem	needed
`AutoSamplingTheory.SALD.discreteForwardKlDerivativeSplitOfRawIbpsScalar`	theorem	needed
`AutoSamplingTheory.SALD.discreteForwardKlMassTermZeroOfTotalMassDerivative`	theorem	needed
`AutoSamplingTheory.SALD.discreteForwardKlDerivativeSplitOfMassDerivativeScalar`	theorem	needed
`AutoSamplingTheory.SALD.discreteForwardKlLawConstantTestTotalMassOne`	theorem	needed
`AutoSamplingTheory.SALD.discreteForwardKlLawConstantTestHasDerivAtZero`	theorem	needed
`AutoSamplingTheory.SALD.discreteForwardKlMassTermZeroOfLawConstantTestDerivative`	theorem	needed
`AutoSamplingTheory.SALD.discreteForwardKlDerivativeSplitOfLawConstantTestMassScalar`	theorem	needed
`AutoSamplingTheory.SALD.discreteForwardKlPostLsiDerivativeBoundScalar`	theorem	needed
`AutoSamplingTheory.SALD.discreteForwardKlPostLsiDerivativeBoundOfKlFiScalar`	theorem	needed
`AutoSamplingTheory.SALD.discreteForwardKlPostLsiDerivativeBoundOfRawIbpsScalar`	theorem	needed
`AutoSamplingTheory.SALD.discreteForwardKlPostLsiDerivativeBoundOfMassDerivativeScalar`	theorem	needed
`AutoSamplingTheory.SALD.discreteForwardKlPostLsiDerivativeBoundOfLawConstantTestMassScalar`	theorem	needed
`AutoSamplingTheory.SALD.forwardKlFirstTermFisherSubstitutionScalar`	theorem	needed
`AutoSamplingTheory.SALD.forwardKlMassConservationDropScalar`	theorem	needed
`AutoSamplingTheory.SALD.forwardKlMassConservationFirstTermFisherScalar`	theorem	needed
`AutoSamplingTheory.SALD.forwardKlTargetTransportYoungBoundScalar`	theorem	needed
`AutoSamplingTheory.SALD.forwardKlPostYoungDerivativeBoundScalar`	theorem	needed
`AutoSamplingTheory.SALD.forwardKlPostYoungDerivativeBoundOfCauchyScalar`	theorem	needed
`AutoSamplingTheory.SALD.forwardKlLsiDerivativeBoundScalar`	theorem	needed
`AutoSamplingTheory.SALD.forwardKlLsiDerivativeBoundOfKlFiScalar`	theorem	needed
`AutoSamplingTheory.SALD.forwardKlTimeChangedDerivativeBoundScalar`	theorem	needed
`AutoSamplingTheory.SALD.forwardKlInverseScheduleDerivativeScalar`	theorem	needed
`AutoSamplingTheory.SALD.forwardKlTimeChangeSquareCoefficientRewriteOfProductScalar`	theorem	needed
`AutoSamplingTheory.SALD.forwardKlVelocitySquareScalingScalar`	theorem	needed
`AutoSamplingTheory.SALD.forwardKlTimeChangedDerivativeBoundOfProductScalar`	theorem	needed
`AutoSamplingTheory.SALD.forwardKlPreDvDerivativeBoundScalar`	theorem	needed
`AutoSamplingTheory.SALD.forwardKlPreDvDerivativeBoundOfProductScalar`	theorem	needed
`AutoSamplingTheory.SALD.forwardKlPreDvDerivativeBoundOfVelocityScalingScalar`	theorem	needed
`AutoSamplingTheory.SALD.forwardKlPreDvDerivativeBoundOfKlFiVelocityScalingScalar`	theorem	needed
`AutoSamplingTheory.SALD.forwardKlPreDvDerivativeBoundOfRawKlFiVelocityScalingScalar`	theorem	needed
`AutoSamplingTheory.SALD.forwardKlPointwisePreDvDerivativeBoundOfRawKlFiVelocityScaling`	theorem	needed
`AutoSamplingTheory.SALD.forwardKlDerivativeDvGronwallCoefficientOfKlFiVelocityScalingScalar`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetKlDerivativeResidualSplitScalar`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetKlDerivativeScaledResidualDisplayScalar`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetPostYoungDerivativeBoundScalar`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetLsiDerivativeBoundScalar`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetTimeChangedDerivativeBoundScalar`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetPreDvDerivativeBoundScalar`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetKlDerivativePreDvBoundOfSplitScalar`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetPostDvGronwallCoefficientScalar`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetPostDvGronwallCoefficientOfSigmaScheduleScalar`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetDerivativeDvGronwallCoefficientScalar`	theorem	needed
`AutoSamplingTheory.SALD.generalMovingTargetResidualToGronwallBridgeScalar`	theorem	needed
`AutoSamplingTheory.SALD.LsiKlFiBridgeContract`	structure	needed
`AutoSamplingTheory.SALD.LsiKlFiDensityTestContract`	structure	needed
`AutoSamplingTheory.SALD.DvFiniteLogMgfContract`	structure	needed
`AutoSamplingTheory.SALD.PiVelocityNormDependencyContract`	structure	needed
`AutoSamplingTheory.SALD.FirstAppendixVocabularyPacket`	structure	needed
`AutoSamplingTheory.SALD.FirstAppendixSourceIndexAuditContract`	structure	needed
`AutoSamplingTheory.SALD.FirstAppendixMiddleAuditContract`	structure	needed
`AutoSamplingTheory.SALD.ForwardKlUpperPacket`	structure	needed
`AutoSamplingTheory.SALD.DiscreteForwardKlUpperPacket`	structure	needed
`AutoSamplingTheory.SALD.GeneralVaSaldUpperPacket`	structure	needed
`AutoSamplingTheory.SALD.GeneralVaSaldGuidedPathMiddleContract`	structure	needed
`AutoSamplingTheory.SALD.ForwardKlStatementContract`	structure	needed
`AutoSamplingTheory.SALD.AlphaComplexityContract`	structure	needed
`AutoSamplingTheory.SALD.ForwardKlDerivativeCandidateContract`	structure	needed
`AutoSamplingTheory.SALD.ForwardKlDerivativeSideConditionContract`	structure	needed
`AutoSamplingTheory.SALD.ForwardKlDvEnergyCandidateContract`	structure	needed
`AutoSamplingTheory.SALD.ForwardKlDvFiniteLogMgfWitnessContract`	structure	needed
`AutoSamplingTheory.SALD.ForwardKlDvAlphaMonotonicityContract`	structure	needed
`AutoSamplingTheory.SALD.ForwardKlGronwallInstantiationContract`	structure	needed
`AutoSamplingTheory.SALD.ForwardKlMovingTargetDependencyContract`	structure	needed
`AutoSamplingTheory.SALD.ForwardKlDependencyChainAuditContract`	structure	needed
`AutoSamplingTheory.SALD.ForwardKlGronwallSideConditionContract`	structure	needed
`AutoSamplingTheory.SALD.ForwardKlEndpointScheduleContract`	structure	needed
`AutoSamplingTheory.SALD.ForwardKlMiddleSourceToLeanContract`	structure	needed
`AutoSamplingTheory.SALD.DiscreteForwardKlStatementContract`	structure	needed
`AutoSamplingTheory.SALD.DiscreteForwardKlEmInterpolationSideConditionContract`	structure	needed
`AutoSamplingTheory.SALD.DiscreteForwardKlEmConditionalFpLowerContract`	structure	needed
`AutoSamplingTheory.SALD.DiscreteForwardKlConditionalDriftDensityContract`	structure	needed
`AutoSamplingTheory.SALD.FrozenDeltaCrossLipSaldContract`	structure	needed
`AutoSamplingTheory.SALD.DiscreteForwardKlDerivativeCandidateContract`	structure	needed
`AutoSamplingTheory.SALD.DiscreteForwardKlDvFiniteLogMgfWitnessContract`	structure	needed
`AutoSamplingTheory.SALD.DiscreteForwardKlGronwallInstantiationContract`	structure	needed
`AutoSamplingTheory.SALD.DiscreteForwardKlAccumulatedErrorBridgeContract`	structure	needed
`AutoSamplingTheory.SALD.DiscreteForwardKlEmDefectAccumulationMiddleContract`	structure	needed
`AutoSamplingTheory.SALD.DiscreteForwardKlCoefficientChainAuditContract`	structure	needed
`AutoSamplingTheory.SALD.GuidedResidualIdentityContract`	structure	needed
`AutoSamplingTheory.SALD.GeneralMovingTargetStatementContract`	structure	needed
`AutoSamplingTheory.SALD.GeneralMovingTargetDerivativeCandidateContract`	structure	needed
`AutoSamplingTheory.SALD.GeneralMovingTargetDvEnergyCandidateContract`	structure	needed
`AutoSamplingTheory.SALD.GeneralMovingTargetDvFiniteLogMgfWitnessContract`	structure	needed
`AutoSamplingTheory.SALD.GeneralMovingTargetDvPositiveAlphaScalingContract`	structure	needed
`AutoSamplingTheory.SALD.GeneralMovingTargetGronwallInstantiationContract`	structure	needed
`AutoSamplingTheory.SALD.GeneralMovingTargetGronwallSideConditionContract`	structure	needed
`AutoSamplingTheory.SALD.UnifiedForwardKlSpecializationContract`	structure	needed
`AutoSamplingTheory.SALD.UnifiedForwardKlTransportBridgeMiddleContract`	structure	needed
`AutoSamplingTheory.SALD.UnifiedForwardKlTransportBridgeLowerContract`	structure	needed
`AutoSamplingTheory.SALD.GeneralMovingTargetDiscreteStatementContract`	structure	needed
`AutoSamplingTheory.SALD.GeneralFrozenDeltaCrossLipContract`	structure	needed
`AutoSamplingTheory.SALD.GeneralMovingTargetDiscreteDerivativeCandidateContract`	structure	needed
`AutoSamplingTheory.SALD.GeneralMovingTargetDiscreteDerivativeSideConditionContract`	structure	needed
`AutoSamplingTheory.SALD.GeneralMovingTargetDiscreteConditionalDriftContract`	structure	needed
`AutoSamplingTheory.SALD.GeneralMovingTargetDiscreteConditionalLawMeasurabilityContract`	structure	needed
`AutoSamplingTheory.SALD.GeneralMovingTargetDiscreteEndpointConditionalCompatibilityContract`	structure	needed
`AutoSamplingTheory.SALD.GeneralMovingTargetDiscreteWeakConditionalFpSourceSignContract`	structure	needed
`AutoSamplingTheory.SALD.GeneralMovingTargetDiscreteKlDerivativeWeakFpHandoffContract`	structure	needed
`AutoSamplingTheory.SALD.GeneralMovingTargetDiscreteDvFiniteLogMgfWitnessContract`	structure	needed
`AutoSamplingTheory.SALD.GeneralMovingTargetDiscreteGronwallInstantiationContract`	structure	needed
`AutoSamplingTheory.SALD.GeneralMovingTargetDiscreteGronwallSideConditionContract`	structure	needed
`AutoSamplingTheory.SALD.MainSkeletonAnalyticInterfaceLedger`	structure	needed
`AutoSamplingTheory.SALD.saldGronwallCandidateContract`	def	data-explained
`AutoSamplingTheory.SALD.saldGronwallEndpointCalculusContract`	def	data-explained
`AutoSamplingTheory.SALD.saldGronwallExponentRewriteContract`	def	data-explained
`AutoSamplingTheory.SALD.saldKLContract`	def	needed
`AutoSamplingTheory.SALD.saldFIContract`	def	needed
`AutoSamplingTheory.SALD.saldLSIContract`	def	needed
`AutoSamplingTheory.SALD.saldLsiKlFiBridgeContract`	def	data-explained
`AutoSamplingTheory.SALD.saldLsiKlFiDensityTestContract`	def	data-explained
`AutoSamplingTheory.SALD.saldDvFiniteLogMgfContract`	def	data-explained
`AutoSamplingTheory.SALD.saldPiVelocityNormDependencyContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle9FirstAppendixVocabularyPacket`	def	data-unresolved
`AutoSamplingTheory.SALD.saldAlphaComplexityContract`	def	data-explained
`AutoSamplingTheory.SALD.continuousForwardKlStatementContract`	def	data-explained
`AutoSamplingTheory.SALD.forwardKlDerivativeCandidateContract`	def	data-explained
`AutoSamplingTheory.SALD.forwardKlDerivativeSideConditionContract`	def	data-explained
`AutoSamplingTheory.SALD.forwardKlDvEnergyCandidateContract`	def	data-explained
`AutoSamplingTheory.SALD.forwardKlDvFiniteLogMgfWitnessContract`	def	data-explained
`AutoSamplingTheory.SALD.forwardKlDvAlphaMonotonicityContract`	def	data-explained
`AutoSamplingTheory.SALD.forwardKlGronwallInstantiationContract`	def	data-explained
`AutoSamplingTheory.SALD.forwardKlMovingTargetDependencyContract`	def	data-explained
`AutoSamplingTheory.SALD.forwardKlDependencyChainAuditContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle10ForwardKlUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.forwardKlGronwallSideConditionContract`	def	data-explained
`AutoSamplingTheory.SALD.forwardKlEndpointScheduleContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle14ForwardKlUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle14ForwardKlMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle11DiscreteForwardKlUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle15DiscreteForwardKlUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle15DiscreteForwardKlMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle15DiscreteForwardKlEmConditionalFpLowerContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle15DiscreteForwardKlConditionalDriftDensityContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle19DiscreteForwardKlUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle19DiscreteForwardKlMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle23DiscreteForwardKlUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle23DiscreteForwardKlMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle27DiscreteForwardKlUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle27DiscreteForwardKlMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.discreteSaldEulerMaruyamaContract`	def	needed
`AutoSamplingTheory.SALD.discreteForwardKlStatementContract`	def	data-explained
`AutoSamplingTheory.SALD.discreteForwardKlEmInterpolationSideConditionContract`	def	data-explained
`AutoSamplingTheory.SALD.frozenDeltaCrossLipSaldContract`	def	data-explained
`AutoSamplingTheory.SALD.discreteForwardKlDerivativeCandidateContract`	def	data-explained
`AutoSamplingTheory.SALD.discreteForwardKlDvFiniteLogMgfWitnessContract`	def	data-explained
`AutoSamplingTheory.SALD.discreteForwardKlGronwallInstantiationContract`	def	data-explained
`AutoSamplingTheory.SALD.discreteForwardKlAccumulatedErrorBridgeContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle11DiscreteForwardKlMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.discreteForwardKlCoefficientChainAuditContract`	def	data-explained
`AutoSamplingTheory.SALD.guidedResidualIdentityContract`	def	data-explained
`AutoSamplingTheory.SALD.generalMovingTargetStatementContract`	def	data-explained
`AutoSamplingTheory.SALD.generalMovingTargetDerivativeCandidateContract`	def	data-explained
`AutoSamplingTheory.SALD.generalMovingTargetDvEnergyCandidateContract`	def	data-explained
`AutoSamplingTheory.SALD.generalMovingTargetDvFiniteLogMgfWitnessContract`	def	data-explained
`AutoSamplingTheory.SALD.generalMovingTargetDvPositiveAlphaScalingContract`	def	data-explained
`AutoSamplingTheory.SALD.generalMovingTargetGronwallInstantiationContract`	def	data-explained
`AutoSamplingTheory.SALD.generalMovingTargetGronwallSideConditionContract`	def	data-explained
`AutoSamplingTheory.SALD.unifiedForwardKlSpecializationContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle12GeneralVaSaldUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle12GeneralVaSaldMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle16GeneralVaSaldUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle20GeneralVaSaldUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle20GeneralVaSaldMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle24GeneralVaSaldUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle24GeneralVaSaldMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle28GeneralVaSaldUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle28GeneralVaSaldMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle16UnifiedForwardKlTransportBridgeMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle16UnifiedForwardKlTransportBridgeLowerContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle13FirstAppendixVocabularyPacket`	def	data-unresolved
`AutoSamplingTheory.SALD.cycle13FirstAppendixSourceIndexAuditContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle13FirstAppendixMiddleAuditContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle17FirstAppendixVocabularyPacket`	def	data-unresolved
`AutoSamplingTheory.SALD.cycle17FirstAppendixMiddleAuditContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle21FirstAppendixVocabularyPacket`	def	data-unresolved
`AutoSamplingTheory.SALD.cycle21FirstAppendixMiddleAuditContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle25FirstAppendixVocabularyPacket`	def	data-unresolved
`AutoSamplingTheory.SALD.cycle25FirstAppendixMiddleAuditContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle25FirstAppendixPiVelocityNormMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle25PiVelocityNormLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle29FirstAppendixVocabularyPacket`	def	data-unresolved
`AutoSamplingTheory.SALD.cycle29FirstAppendixMiddleAuditContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle29LsiKlFiDensityTestMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle29LsiKlFiDensityTestLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle33LsiKlFiDensityTestMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle33LsiKlFiDensityTestLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle38LsiKlFiUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle38LsiKlFiUpperObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle38LsiKlFiMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle38LsiKlFiLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle43LsiKlFiUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle43LsiKlFiUpperObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle43LsiKlFiMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle43LsiKlFiLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle44MainSkeletonAnalyticInterfaceLedger`	def	data-unresolved
`AutoSamplingTheory.SALD.cycle44MainSkeletonAnalyticInterfaceObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle44MainSkeletonAnalyticInterfaceDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle49MainSkeletonAnalyticReadinessLedger`	def	data-explained
`AutoSamplingTheory.SALD.cycle49MainSkeletonAnalyticReadinessObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle49MainSkeletonAnalyticMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle49MainSkeletonAnalyticMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle49MainSkeletonAnalyticReadinessDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle45ForwardKlSkeletonUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle45ForwardKlSkeletonObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle45ForwardKlSkeletonDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle45ForwardKlSkeletonMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle45ForwardKlSkeletonMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle50ForwardKlSkeletonUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle50ForwardKlSkeletonObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle50ForwardKlSkeletonMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle50ForwardKlSkeletonMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle50ForwardKlDerivativeLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle50ForwardKlSkeletonDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle51DiscreteForwardKlSkeletonUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle51DiscreteForwardKlSkeletonObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle51DiscreteForwardKlSkeletonMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle51DiscreteForwardKlSkeletonMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle32DvVariationUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle32DvVariationInterfaceObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle32DvVariationMiddleAuditContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle32DvVariationMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle32DvVariationLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle37DvVariationUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle37DvVariationUpperObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle37DvVariationMiddleAuditContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle37DvVariationMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle37DvVariationLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle42DvVariationMiddleAuditContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle42DvVariationMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle42DvVariationLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle18ForwardKlUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle18ForwardKlMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle22ForwardKlUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle22ForwardKlMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle26ForwardKlUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle26ForwardKlMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle30ForwardKlUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle30ForwardKlMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle34ForwardKlDerivativeUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle34ForwardKlDerivativeMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle39ForwardKlDerivativeUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle39ForwardKlDerivativeMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle35DiscreteForwardKlEmFpUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle35DiscreteForwardKlEmFpMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle40DiscreteForwardKlEmFpMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.generalVaSaldEulerMaruyamaContract`	def	needed
`AutoSamplingTheory.SALD.generalFrozenDeltaCrossLipContract`	def	data-explained
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteStatementContract`	def	data-explained
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteDerivativeCandidateContract`	def	data-explained
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteConditionalDriftContract`	def	data-explained
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteConditionalLawMeasurabilityContract`	def	data-explained
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEndpointConditionalCompatibilityContract`	def	data-explained
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteWeakConditionalFpSourceSignContract`	def	data-explained
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteKlDerivativeWeakFpHandoffContract`	def	data-explained
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteDerivativeSideConditionContract`	def	data-explained
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteDvFiniteLogMgfWitnessContract`	def	data-explained
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteGronwallInstantiationContract`	def	data-explained
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteGronwallSideConditionContract`	def	data-explained
`AutoSamplingTheory.SALD.saldPIContract`	def	needed
`AutoSamplingTheory.SALD.lsiKlFiDensityTestObligation`	def	data-explained
`AutoSamplingTheory.SALD.dvFiniteLogMgfInterfaceObligation`	def	data-explained
`AutoSamplingTheory.SALD.piVelocityNormBackendObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle36GronwallUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle36GronwallUpperObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle36GronwallMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle41GronwallMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle41GronwallLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.gronwallAnalyticObligation`	def	data-explained
`AutoSamplingTheory.SALD.gronwallEndpointCalculusObligation`	def	data-explained
`AutoSamplingTheory.SALD.gronwallExponentRewriteObligation`	def	data-explained
`AutoSamplingTheory.SALD.firstAppendixSourceIndexAuditObligation`	def	data-explained
`AutoSamplingTheory.SALD.firstAppendixMiddleAuditObligation`	def	data-explained
`AutoSamplingTheory.SALD.forwardKlMiddleSourceToLeanMapObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle30ForwardKlDerivativeSideUpperObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle30ForwardKlDerivativeSideMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.forwardKlDensityBoundaryObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle30ForwardKlDensityBoundaryLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle34ForwardKlDerivativeScalarObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle34ForwardKlTargetYoungLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle34ForwardKlDerivativeMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle39ForwardKlDerivativeUpperObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle39ForwardKlDerivativeMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.forwardKlScheduleTimeChangeObligation`	def	data-explained
`AutoSamplingTheory.SALD.forwardKlDerivativeObligation`	def	data-explained
`AutoSamplingTheory.SALD.forwardKlDvEnergyObligation`	def	data-explained
`AutoSamplingTheory.SALD.forwardKlDvAlphaMonotonicityObligation`	def	data-explained
`AutoSamplingTheory.SALD.forwardKlDvFiniteLogMgfWitnessObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle26ForwardKlDvWitnessMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle26ForwardKlDvPositiveAlphaLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.forwardKlGronwallApplicationObligation`	def	data-explained
`AutoSamplingTheory.SALD.forwardKlGronwallSideConditionObligation`	def	data-explained
`AutoSamplingTheory.SALD.forwardKlEndpointScheduleObligation`	def	data-explained
`AutoSamplingTheory.SALD.forwardKlMovingTargetDependencyObligation`	def	data-explained
`AutoSamplingTheory.SALD.forwardKlCoefficientChainObligation`	def	data-explained
`AutoSamplingTheory.SALD.discreteForwardKlEmEndpointObligation`	def	data-explained
`AutoSamplingTheory.SALD.discreteForwardKlEmConditionalFpObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle15DiscreteForwardKlConditionalDriftDensityObligation`	def	data-explained
`AutoSamplingTheory.SALD.discreteForwardKlStitchedIntervalRegularityObligation`	def	data-explained
`AutoSamplingTheory.SALD.discreteForwardKlEmInterpolationObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle15DiscreteForwardKlMiddleEmSpineObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle15DiscreteForwardKlEmConditionalFpLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle35DiscreteForwardKlEmFpUpperObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle35DiscreteForwardKlEmFpMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle35DiscreteForwardKlEmFpLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle40DiscreteForwardKlEmFpMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle40DiscreteForwardKlEmEndpointLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.discreteForwardKlFrozenDeltaObligation`	def	data-explained
`AutoSamplingTheory.SALD.discreteForwardKlDerivativeObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle51DiscreteForwardKlDerivativeLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.discreteForwardKlDvFiniteLogMgfWitnessObligation`	def	data-explained
`AutoSamplingTheory.SALD.discreteForwardKlDvVelocityObligation`	def	data-explained
`AutoSamplingTheory.SALD.discreteForwardKlGronwallAccumulationObligation`	def	data-explained
`AutoSamplingTheory.SALD.discreteForwardKlLinearSlowdownObligation`	def	data-explained
`AutoSamplingTheory.SALD.discreteForwardKlResidualExponentBoundObligation`	def	data-explained
`AutoSamplingTheory.SALD.discreteForwardKlAccumulatedErrorBridgeObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle19DiscreteForwardKlAccumulatedErrorMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.discreteForwardKlEmDefectAccumulationMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle23DiscreteForwardKlCoefficientChainMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.discreteForwardKlCoefficientChainObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle27DiscreteForwardKlAccumulatedCollectionUpperObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle27DiscreteForwardKlAccumulatedCollectionMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle27DiscreteForwardKlAccumulatedCollectionLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle46DiscreteForwardKlSkeletonUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle46DiscreteForwardKlSkeletonObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle46DiscreteForwardKlSkeletonDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle46DiscreteForwardKlSkeletonMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle46DiscreteForwardKlSkeletonMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle47GuidedGeneralSkeletonUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle47GuidedGeneralSkeletonObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle47GuidedGeneralSkeletonMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle47GuidedGeneralSkeletonMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle47GuidedGeneralSkeletonDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle52GuidedGeneralSkeletonUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle52GuidedGeneralSkeletonObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle52GuidedGeneralSkeletonMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle52GuidedGeneralSkeletonMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle52GuidedGeneralDerivativeDvLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle52GuidedGeneralSkeletonDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle57GuidedGeneralSkeletonUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle57GuidedGeneralSkeletonObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle57GuidedGeneralSkeletonMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle57GuidedGeneralSkeletonMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle57GuidedGeneralDerivativeSplitLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle57GuidedGeneralSkeletonDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle48UnifiedDiscreteSkeletonUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle48UnifiedDiscreteSkeletonObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle48UnifiedDiscreteSkeletonMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle48GeneralMovingTargetDiscreteEmEndpointFpAuditObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle48UnifiedDiscreteSkeletonMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle48UnifiedDiscreteSkeletonDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle53UnifiedDiscreteGeneralUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle53UnifiedDiscreteGeneralSkeletonObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle53UnifiedDiscreteGeneralMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle53UnifiedDiscreteGeneralMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle53UnifiedDiscreteGeneralDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle54MainSkeletonAnalyticInterfaceLedger`	def	data-explained
`AutoSamplingTheory.SALD.cycle54MainSkeletonAnalyticInterfaceObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle54MainSkeletonAnalyticMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle54MainSkeletonAnalyticMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle54MainSkeletonAnalyticInterfaceDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle55ForwardKlSkeletonUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle55ForwardKlSkeletonObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle55ForwardKlSkeletonMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle55ForwardKlSkeletonMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle55ForwardKlDerivativeMassLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle55ForwardKlSkeletonDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle56DiscreteForwardKlSkeletonUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle56DiscreteForwardKlSkeletonObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle56DiscreteForwardKlSkeletonMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle56DiscreteForwardKlSkeletonMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle56DiscreteForwardKlGronwallLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle58UnifiedDiscreteGeneralUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle58UnifiedDiscreteGeneralSkeletonObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle58UnifiedDiscreteGeneralMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle58UnifiedDiscreteGeneralMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle58UnifiedDiscreteGeneralDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle59MainSkeletonAnalyticInterfaceLedger`	def	data-explained
`AutoSamplingTheory.SALD.cycle59MainSkeletonAnalyticInterfaceObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle59MainSkeletonAnalyticMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle59MainSkeletonAnalyticMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle59GeneralMovingTargetDiscreteGronwallLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle59MainSkeletonAnalyticInterfaceDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle60ForwardKlSkeletonUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle60ForwardKlSkeletonObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle60ForwardKlSkeletonMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle60ForwardKlSkeletonMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle60ForwardKlDerivativeRawLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle60ForwardKlSkeletonDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle61DiscreteForwardKlSkeletonUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle61DiscreteForwardKlSkeletonObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle61DiscreteForwardKlSkeletonMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle61DiscreteForwardKlSkeletonMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle61DiscreteForwardKlAccumulatedErrorLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle61DiscreteForwardKlSkeletonDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle62GuidedGeneralSkeletonUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle62GuidedGeneralSkeletonObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle62GuidedGeneralSkeletonMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle62GuidedGeneralSkeletonMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle62GuidedGeneralScaledResidualLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle62GuidedGeneralSkeletonDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle63UnifiedDiscreteGeneralSkeletonUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle63UnifiedDiscreteGeneralSkeletonObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle63UnifiedDiscreteGeneralMeasureBackfillObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle63UnifiedDiscreteGeneralMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle63UnifiedDiscreteGeneralMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle63UnifiedDiscreteGeneralDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle64MainSkeletonAnalyticInterfaceLedger`	def	data-explained
`AutoSamplingTheory.SALD.cycle64MainSkeletonAnalyticInterfaceObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle64MainSkeletonAnalyticMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle64MainSkeletonAnalyticMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle64MainSkeletonAnalyticInterfaceDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle65ForwardKlSkeletonUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle65ForwardKlSkeletonObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle65ForwardKlSkeletonMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle65ForwardKlSkeletonMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle65ForwardKlDerivativePointwiseLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle65ForwardKlSkeletonDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle66DiscreteForwardKlSkeletonUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle66DiscreteForwardKlSkeletonObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle66DiscreteForwardKlSkeletonMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle66DiscreteForwardKlSkeletonMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle66DiscreteForwardKlAccumulatedDisplayLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle66DiscreteForwardKlSkeletonDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle67GuidedGeneralSkeletonUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle67GuidedGeneralSkeletonObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle67GuidedGeneralSkeletonMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle67GuidedGeneralSkeletonMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle67GuidedGeneralResidualGronwallBridgeObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle67GuidedGeneralResidualGronwallLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle67GuidedGeneralSkeletonDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle68UnifiedDiscreteGeneralSkeletonUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle68UnifiedDiscreteGeneralSkeletonObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle68UnifiedDiscreteGeneralDiscreteBridgeObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle68UnifiedDiscreteGeneralSkeletonMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle68UnifiedDiscreteGeneralSkeletonMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle68UnifiedDiscreteGeneralDiscreteBridgeLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle68UnifiedDiscreteGeneralDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle69MainSkeletonAnalyticInterfaceLedger`	def	data-explained
`AutoSamplingTheory.SALD.cycle69MainSkeletonAnalyticInterfaceObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle69MainSkeletonAnalyticMiddleContract`	def	data-explained
`AutoSamplingTheory.SALD.cycle69MainSkeletonAnalyticMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle69GeneralMovingTargetDiscreteEmFpSourceSignsLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle70GeneralMovingTargetDiscreteConditionalLawMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle70GeneralMovingTargetDiscreteConditionalLawLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle71GeneralMovingTargetDiscreteEndpointConditionalMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle71GeneralMovingTargetDiscreteEndpointConditionalLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle71GeneralMovingTargetDiscreteEndpointConditionalDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle72GeneralMovingTargetDiscreteWeakFpMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle72GeneralMovingTargetDiscreteWeakFpLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle72GeneralMovingTargetDiscreteWeakFpDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle73GeneralMovingTargetDiscreteKlDerivativeWeakFpUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle73GeneralMovingTargetDiscreteKlDerivativeWeakFpUpperObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle73GeneralMovingTargetDiscreteKlDerivativeWeakFpMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle73GeneralMovingTargetDiscreteKlDerivativeWeakFpLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle73GeneralMovingTargetDiscreteKlDerivativeWeakFpDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle74GeneralMovingTargetDiscreteConditionalKernelMeasureInterface`	def	data-explained
`AutoSamplingTheory.SALD.cycle74GeneralMovingTargetDiscreteMeasureInterfaceUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle74GeneralMovingTargetDiscreteMeasureInterfaceUpperObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle74GeneralMovingTargetDiscreteMeasureInterfaceMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle74GeneralMovingTargetDiscreteMeasureInterfaceLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle74GeneralMovingTargetDiscreteMeasureInterfaceDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle75GeneralMovingTargetDiscreteConditionalLawBackfillUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle75GeneralMovingTargetDiscreteConditionalLawBackfillUpperObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle75GeneralMovingTargetDiscreteConditionalLawBackfillMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle75GeneralMovingTargetDiscreteConditionalLawBackfillLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle75GeneralMovingTargetDiscreteConditionalLawBackfillDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle76GeneralMovingTargetDiscreteEndpointConditionalUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle76GeneralMovingTargetDiscreteEndpointConditionalUpperObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle76GeneralMovingTargetDiscreteEndpointConditionalMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle76GeneralMovingTargetDiscreteEndpointConditionalLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle76GeneralMovingTargetDiscreteEndpointConditionalDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle77GeneralMovingTargetDiscreteWeakFpGeneratorMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle77GeneralMovingTargetDiscreteWeakFpGeneratorLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle77GeneralMovingTargetDiscreteWeakFpGeneratorDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle78GeneralMovingTargetDiscreteKlDerivativeGeneratorUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle78GeneralMovingTargetDiscreteKlDerivativeGeneratorUpperObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle78GeneralMovingTargetDiscreteKlDerivativeGeneratorMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle78GeneralMovingTargetDiscreteKlDerivativeGeneratorLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle78GeneralMovingTargetDiscreteKlDerivativeGeneratorDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle79GeneralMovingTargetDiscreteWeakFpGeneratorMeasureInterface`	def	data-explained
`AutoSamplingTheory.SALD.cycle79GeneralMovingTargetDiscreteWeakFpGeneratorMeasureUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle79GeneralMovingTargetDiscreteWeakFpGeneratorMeasureUpperObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle79GeneralMovingTargetDiscreteWeakFpGeneratorMeasureMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle79GeneralMovingTargetDiscreteWeakFpGeneratorMeasureLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle79GeneralMovingTargetDiscreteWeakFpGeneratorMeasureDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle80GeneralMovingTargetDiscreteConditionalLawMeasurabilityUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle80GeneralMovingTargetDiscreteConditionalLawMeasurabilityUpperObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle80GeneralMovingTargetDiscreteConditionalLawMeasurabilityMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle80GeneralMovingTargetDiscreteConditionalLawMeasurabilityLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle80GeneralMovingTargetDiscreteConditionalLawMeasurabilityDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle81GeneralMovingTargetDiscreteEndpointConditionalUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle81GeneralMovingTargetDiscreteEndpointConditionalUpperObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle81GeneralMovingTargetDiscreteEndpointConditionalMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle81GeneralMovingTargetDiscreteEndpointConditionalLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle81GeneralMovingTargetDiscreteEndpointConditionalDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle82GeneralMovingTargetDiscreteWeakFpSourceSignsUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle82GeneralMovingTargetDiscreteWeakFpSourceSignsUpperObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle82GeneralMovingTargetDiscreteWeakFpSourceSignsMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle82GeneralMovingTargetDiscreteWeakFpSourceSignsLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle82GeneralMovingTargetDiscreteWeakFpSourceSignsDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle83GeneralMovingTargetDiscreteKlDerivativeEndpointWeakFpUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle83GeneralMovingTargetDiscreteKlDerivativeEndpointWeakFpUpperObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle83GeneralMovingTargetDiscreteKlDerivativeEndpointWeakFpMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle83GeneralMovingTargetDiscreteKlDerivativeEndpointWeakFpLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle83GeneralMovingTargetDiscreteKlDerivativeEndpointWeakFpDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle84GeneralMovingTargetDiscreteActiveEmBackendUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle84GeneralMovingTargetDiscreteActiveEmBackendUpperObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle84GeneralMovingTargetDiscreteActiveEmBackendMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle84GeneralMovingTargetDiscreteActiveEmBackendLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle84GeneralMovingTargetDiscreteActiveEmBackendDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle85GeneralMovingTargetDiscreteConditionalKernelBoundaryUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle85GeneralMovingTargetDiscreteConditionalKernelBoundaryUpperObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle85GeneralMovingTargetDiscreteConditionalKernelBoundaryMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle85GeneralMovingTargetDiscreteConditionalKernelBoundaryLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle85GeneralMovingTargetDiscreteConditionalKernelBoundaryDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle86GeneralMovingTargetDiscreteWeakFpGeneratorBoundaryUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle86GeneralMovingTargetDiscreteWeakFpGeneratorBoundaryUpperObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle86GeneralMovingTargetDiscreteWeakFpGeneratorBoundaryMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle86GeneralMovingTargetDiscreteWeakFpGeneratorBoundaryLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle86GeneralMovingTargetDiscreteWeakFpGeneratorBoundaryDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle87GeneralMovingTargetDiscreteKlLogRatioBoundaryUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle87GeneralMovingTargetDiscreteKlLogRatioBoundaryUpperObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle87GeneralMovingTargetDiscreteKlLogRatioBoundaryMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle87GeneralMovingTargetDiscreteKlLogRatioBoundaryLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle87GeneralMovingTargetDiscreteKlLogRatioBoundaryDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle88GeneralMovingTargetDiscreteKlLogRatioAdmissibilityMiddlePacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle88GeneralMovingTargetDiscreteKlLogRatioAdmissibilityMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle88GeneralMovingTargetDiscreteKlLogRatioAdmissibilityLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle88GeneralMovingTargetDiscreteKlLogRatioAdmissibilityDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle89DiscreteForwardKlClosurePressureUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle89DiscreteForwardKlClosurePressureUpperObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle89DiscreteForwardKlClosurePressureMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle89DiscreteForwardKlClosurePressureLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle89DiscreteForwardKlClosurePressureDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle90DiscreteForwardKlMassConservationUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle90DiscreteForwardKlMassConservationUpperObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle90DiscreteForwardKlMassConservationMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle90DiscreteForwardKlMassConservationLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle90DiscreteForwardKlMassConservationDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle91GeneralMovingTargetDiscreteConditionalKernelMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle91GeneralMovingTargetDiscreteConditionalKernelLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle91GeneralMovingTargetDiscreteConditionalKernelDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle92GeneralMovingTargetDiscreteWeakFpGeneratorSplitMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle92GeneralMovingTargetDiscreteWeakFpGeneratorSplitLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle92GeneralMovingTargetDiscreteWeakFpGeneratorSplitDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle93GeneralMovingTargetDiscreteKlMassDerivativeMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle93GeneralMovingTargetDiscreteKlMassDerivativeLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle93GeneralMovingTargetDiscreteKlMassDerivativeDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle94GeneralMovingTargetDiscreteWeakFpDriftActionMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle94GeneralMovingTargetDiscreteWeakFpDriftActionLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle94GeneralMovingTargetDiscreteWeakFpDriftActionDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle95DiscreteForwardKlClosurePressureUpperPacket`	def	data-explained
`AutoSamplingTheory.SALD.cycle95DiscreteForwardKlClosurePressureUpperObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle95DiscreteForwardKlClosurePressureMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle95DiscreteForwardKlClosurePressureLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle95DiscreteForwardKlClosurePressureDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle96GeneralMovingTargetDiscreteCondexpGeneratorPairingMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle96GeneralMovingTargetDiscreteCondexpGeneratorPairingLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle96GeneralMovingTargetDiscreteCondexpGeneratorPairingDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle97GeneralMovingTargetDiscreteCanonicalCondDistribPairingMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle97GeneralMovingTargetDiscreteCanonicalCondDistribPairingLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle97GeneralMovingTargetDiscreteCanonicalCondDistribPairingDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle98GeneralMovingTargetDiscreteBarBDivergenceNoBoundaryMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle98GeneralMovingTargetDiscreteBarBDivergenceNoBoundaryLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle98GeneralMovingTargetDiscreteBarBDivergenceNoBoundaryDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle99GeneralMovingTargetDiscreteRawKlDerivativeMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle99GeneralMovingTargetDiscreteRawKlDerivativeLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle99GeneralMovingTargetDiscreteRawKlDerivativeDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle100GeneralMovingTargetDiscreteBarBWeakGradDefMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle100GeneralMovingTargetDiscreteBarBWeakGradDefLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle100GeneralMovingTargetDiscreteBarBWeakGradDefDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle100GeneralMovingTargetDiscreteBarBInnerGradientBoundLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle100GeneralMovingTargetDiscreteBarBInnerGradientBoundDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle101DiscreteForwardKlClosurePressureMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle101DiscreteForwardKlNoBoundaryProductRuleLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle101DiscreteForwardKlClosurePressureDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle102DiscreteForwardKlZeroFluxTraceBoundaryMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle102DiscreteForwardKlTraceZeroLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle102DiscreteForwardKlZeroFluxTraceBoundaryDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle103GeneralMovingTargetDiscreteConditionalKernelVersionMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle103GeneralMovingTargetDiscreteConditionalKernelVersionLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle103GeneralMovingTargetDiscreteConditionalKernelVersionDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle104GeneralMovingTargetDiscreteWeakFpNamedLawTransportUpperObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle104GeneralMovingTargetDiscreteWeakFpNamedLawTransportLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle104GeneralMovingTargetDiscreteWeakFpNamedLawTransportDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle105GeneralMovingTargetDiscretePureRawKlDerivativeMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle105GeneralMovingTargetDiscretePureRawKlDerivativeLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle105GeneralMovingTargetDiscretePureRawKlDerivativeDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle106GeneralMovingTargetDiscreteCanonicalCondDistribDriftMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle106GeneralMovingTargetDiscreteCanonicalCondDistribDriftLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle106GeneralMovingTargetDiscreteCanonicalCondDistribDriftDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle107DiscreteForwardKlBoundaryFluxIntegralLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle107DiscreteForwardKlBoundaryFluxIntegralDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle108DiscreteForwardKlHatRhoBarBFluxContinuityLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle108DiscreteForwardKlHatRhoBarBFluxContinuityDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle108DiscreteForwardKlHatRhoBarBFluxDerivativeLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle108DiscreteForwardKlHatRhoBarBFluxDerivativeDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle109GeneralMovingTargetDiscreteNamedBarBSourceDefBoundary`	def	data-explained
`AutoSamplingTheory.SALD.cycle109GeneralMovingTargetDiscreteNamedBarBSourceDefMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle109GeneralMovingTargetDiscreteNamedBarBCondExpSourceLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle109GeneralMovingTargetDiscreteNamedBarBSourceDefDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle110GeneralMovingTargetDiscreteNamedBarBEqMeasMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle110GeneralMovingTargetDiscreteNamedBarBEqMeasLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle110GeneralMovingTargetDiscreteNamedBarBEqMeasDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle110GeneralMovingTargetDiscreteWeakFpDominatedGeneratorLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle110GeneralMovingTargetDiscreteWeakFpDominatedGeneratorDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle111GeneralMovingTargetDiscreteTargetTimeDerivativeMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle111GeneralMovingTargetDiscreteTargetTimeDerivativeLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle111GeneralMovingTargetDiscreteTargetTimeDerivativeDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle112GeneralMovingTargetDiscreteNamedBarBCondExpRepresentativeMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle112GeneralMovingTargetDiscreteNamedBarBCondExpRepresentativeLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle112GeneralMovingTargetDiscreteNamedBarBCondExpRepresentativeDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle113GeneralMovingTargetDiscreteNamedBarBStateFieldRegularityLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle113GeneralMovingTargetDiscreteNamedBarBStateFieldRegularityDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle114GeneralMovingTargetDiscreteCanonicalBarBStateEventSetIntegralLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle114GeneralMovingTargetDiscreteCanonicalBarBStateEventSetIntegralDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle115GeneralMovingTargetDiscreteNamedBarBSelectedVersionMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle115GeneralMovingTargetDiscreteNamedBarBCondExpSourceLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle115GeneralMovingTargetDiscreteNamedBarBSelectedVersionDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle116GeneralMovingTargetDiscreteCanonicalBarBCondExpLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle116GeneralMovingTargetDiscreteCanonicalBarBCondExpDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle117GeneralMovingTargetDiscreteNamedBarBVersionSelectionMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle117GeneralMovingTargetDiscreteNamedBarBVersionSelectionLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle117GeneralMovingTargetDiscreteNamedBarBVersionSelectionDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle118GeneralMovingTargetDiscreteCanonicalBarBDownstreamMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle118GeneralMovingTargetDiscreteCanonicalBarBDownstreamLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle118GeneralMovingTargetDiscreteCanonicalBarBDownstreamDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle119GeneralMovingTargetDiscreteCanonicalBarBWeakFpConsumerMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle119GeneralMovingTargetDiscreteCanonicalBarBWeakFpConsumerLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle119GeneralMovingTargetDiscreteCanonicalBarBWeakFpConsumerDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle120GeneralMovingTargetDiscreteEmPathDerivativeDominationMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle120GeneralMovingTargetDiscreteEmPathDerivativeDominationLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle120GeneralMovingTargetDiscreteEmPathDerivativeDominationDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle121GeneralMovingTargetDiscreteEmSampleMeasLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle121GeneralMovingTargetDiscreteEmSampleMeasDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle122GeneralMovingTargetDiscreteEmSampleIntLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle122GeneralMovingTargetDiscreteEmSampleIntDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle123GeneralMovingTargetDiscreteEmSampleDerivMeasLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle123GeneralMovingTargetDiscreteEmSampleDerivMeasDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle124GeneralMovingTargetDiscreteEmSampleDerivBoundLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle124GeneralMovingTargetDiscreteEmSampleDerivBoundDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle124GeneralMovingTargetDiscreteEmBoundIntLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle124GeneralMovingTargetDiscreteEmBoundIntDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle125GeneralMovingTargetDiscreteEmPathDerivLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle125GeneralMovingTargetDiscreteEmPathDerivDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle126GeneralMovingTargetDiscreteEmDerivValueLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle126GeneralMovingTargetDiscreteEmDerivValueDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle127GeneralMovingTargetDiscreteEmDriftActionLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle127GeneralMovingTargetDiscreteEmPairMeasLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle127GeneralMovingTargetDiscreteEmDriftActionDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle128GeneralMovingTargetDiscreteEmNoBoundaryTraceLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle128GeneralMovingTargetDiscreteEmCanonicalBarBMeasLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle128GeneralMovingTargetDiscreteEmNoBoundaryTraceDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle129GeneralMovingTargetDiscreteEmDiffusionSourceLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle129GeneralMovingTargetDiscreteEmDiffusionSourceDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle130GeneralMovingTargetDiscreteEmLaplacianIbPLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle130GeneralMovingTargetDiscreteEmGreenLaplacianIbPScoutObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle130GeneralMovingTargetDiscreteEmFirstGreenNoBoundaryFluxLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle131GeneralMovingTargetDiscreteEmSecondGreenNoBoundaryFluxLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle131GeneralMovingTargetDiscreteEmSecondGreenTraceBoundaryLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle131GeneralMovingTargetDiscreteEmSecondGreenBoxBoundaryFluxLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle131GeneralMovingTargetDiscreteEmSecondGreenNoBoundaryFluxDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle132GeneralMovingTargetDiscreteEmSecondGreenTestTraceZeroLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle132GeneralMovingTargetDiscreteEmSecondGreenTraceEqTestTraceZeroScoutObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle132GeneralMovingTargetDiscreteEmSecondGreenPointwiseTraceEqLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle132GeneralMovingTargetDiscreteEmSecondGreenTestTraceZeroDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle133GeneralMovingTargetDiscreteEmSecondGreenPointwiseTestTraceZeroLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle133GeneralMovingTargetDiscreteEmTestLaplacianNormalizationScoutObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle133GeneralMovingTargetDiscreteEmTestLaplacianOperatorNormalizationLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle133GeneralMovingTargetDiscreteEmSecondGreenPointwiseTestTraceZeroDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle134GeneralMovingTargetDiscreteEmTestLaplacianSourcePullbackLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle134GeneralMovingTargetDiscreteEmSourceLaplacianStdBasisScoutObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle134GeneralMovingTargetDiscreteEmWeakFpLaplacianStdBasisLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle134GeneralMovingTargetDiscreteEmTestLaplacianSourcePullbackDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle135GeneralMovingTargetDiscreteEmTestLaplacianStdBasisLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle135GeneralMovingTargetDiscreteEmSecondGreenStdBasisConsumerLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle135GeneralMovingTargetDiscreteEmTestLaplacianStdBasisDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle136GeneralMovingTargetDiscreteEmWeakFpStdBasisSourceDensityLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle136GeneralMovingTargetDiscreteEmWeakFpStdBasisSourceDensityDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle137GeneralMovingTargetDiscreteEmWeakFpDensityLaplacianActionLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle137GeneralMovingTargetDiscreteEmPointwiseGreenIbPScoutObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle137GeneralMovingTargetDiscreteEmSecondGreenPointwiseBoxBoundaryFluxLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle137GeneralMovingTargetDiscreteEmWeakFpDensityLaplacianActionDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle138GeneralMovingTargetDiscreteEmFirstGreenPointwiseBoundaryFluxLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle138GeneralMovingTargetDiscreteEmTestLaplacianPointwiseSourcePullbackScoutObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle138GeneralMovingTargetDiscreteEmTestLaplacianPointwiseStdBasisLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle138GeneralMovingTargetDiscreteEmFirstGreenPointwiseBoundaryFluxDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle139GeneralMovingTargetDiscreteEmWeakFpSourceLaplacianLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle139GeneralMovingTargetDiscreteEmWeakFpSourceActionIntegralScoutObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle139GeneralMovingTargetDiscreteEmWeakFpSourceLaplacianStateIntegralLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle139GeneralMovingTargetDiscreteEmWeakFpSourceLaplacianDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle140GeneralMovingTargetDiscreteEmLaplacianSourceStateIntegralLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle140GeneralMovingTargetDiscreteEmGeneratorLawIntegralScoutObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle140GeneralMovingTargetDiscreteEmGeneratorSourceFunctionalLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle140GeneralMovingTargetDiscreteEmLaplacianSourceStateIntegralDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle141GeneralMovingTargetDiscreteEmGeneratorStdBasisSourceLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle141GeneralMovingTargetDiscreteEmGeneratorTraceFieldSourceScoutObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle141GeneralMovingTargetDiscreteEmGeneratorTraceLawIntegralLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle142GeneralMovingTargetDiscreteEmGeneratorTraceStateIntegralMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle142GeneralMovingTargetDiscreteEmGeneratorTraceLaplacianStateIntegralScoutObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle142GeneralMovingTargetDiscreteEmGeneratorTraceLaplacianLawIntegralLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle141GeneralMovingTargetDiscreteEmGeneratorStdBasisSourceDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle142GeneralMovingTargetDiscreteEmGeneratorTraceStateIntegralDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle143GeneralMovingTargetDiscreteEmGeneratorLaplacianStateEventLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle143GeneralMovingTargetDiscreteEmGeneratorLaplacianStateEventDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle143GeneralMovingTargetDiscreteEmGeneratorLaplacianPointwiseEventLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle143GeneralMovingTargetDiscreteEmGeneratorLaplacianPointwiseEventDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle143GeneralMovingTargetDiscreteEmGeneratorLaplacianActionDefLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle143GeneralMovingTargetDiscreteEmGeneratorLaplacianActionDefDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle144GeneralMovingTargetDiscreteEmGeneratorLaplacianStdBasisEventLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle144GeneralMovingTargetDiscreteEmGeneratorLaplacianStdBasisEventDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle144GeneralMovingTargetDiscreteEmGeneratorLaplacianStdBasisActionLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle144GeneralMovingTargetDiscreteEmGeneratorLaplacianStdBasisActionDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle145GeneralMovingTargetDiscreteEmGeneratorLaplacianStdBasisLawLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle145GeneralMovingTargetDiscreteEmGeneratorLaplacianStdBasisLawDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle145GeneralMovingTargetDiscreteEmGeneratorLaplacianTraceEventLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle145GeneralMovingTargetDiscreteEmGeneratorLaplacianTraceEventDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle146GeneralMovingTargetDiscreteEmGeneratorTraceEventTotalEventLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle146GeneralMovingTargetDiscreteEmGeneratorTraceEventTotalEventDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle146GeneralMovingTargetDiscreteEmGeneratorTraceFieldLaplacianLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle146GeneralMovingTargetDiscreteEmGeneratorTraceFieldLaplacianDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle146GeneralMovingTargetDiscreteEmGeneratorPointwiseTraceEventLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle146GeneralMovingTargetDiscreteEmGeneratorPointwiseTraceEventDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle147GeneralMovingTargetDiscreteEmGeneratorPointwiseActionDefTraceLaplacianLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle147GeneralMovingTargetDiscreteEmGeneratorPointwiseActionDefTraceLaplacianDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle147GeneralMovingTargetDiscreteEmGeneratorPointwiseStdBasisActionTraceLaplacianLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle147GeneralMovingTargetDiscreteEmGeneratorPointwiseStdBasisActionTraceLaplacianDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle147GeneralMovingTargetDiscreteEmGeneratorPointwiseLawIntegralTraceLaplacianLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle147GeneralMovingTargetDiscreteEmGeneratorPointwiseLawIntegralTraceLaplacianDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle148GeneralMovingTargetDiscreteEmGeneratorPointwiseStateEventTraceLaplacianMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle148GeneralMovingTargetDiscreteEmGeneratorPointwiseStateEventTraceLaplacianDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle148GeneralMovingTargetDiscreteEmGeneratorStateEventPointwiseScoutObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle148GeneralMovingTargetDiscreteEmGeneratorStateEventPointwiseScoutDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle148GeneralMovingTargetDiscreteEmGeneratorTotalEventSourceFunctionalLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle148GeneralMovingTargetDiscreteEmGeneratorTotalEventSourceFunctionalDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle149GeneralMovingTargetDiscreteEmGeneratorTotalEventStdBasisSourceFunctionalLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle149GeneralMovingTargetDiscreteEmGeneratorTotalEventStdBasisSourceFunctionalDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle149GeneralMovingTargetDiscreteEmGeneratorTotalEventStdBasisSourceEventLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle149GeneralMovingTargetDiscreteEmGeneratorTotalEventStdBasisSourceEventDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle149GeneralMovingTargetDiscreteEmGeneratorTotalEventTraceFieldSourceEventLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle149GeneralMovingTargetDiscreteEmGeneratorTotalEventTraceFieldSourceEventDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle150GeneralMovingTargetDiscreteEmGeneratorTotalEventTraceLawIntegralSourceEventMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle150GeneralMovingTargetDiscreteEmGeneratorTotalEventTraceStateIntegralSourceEventLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle150GeneralMovingTargetDiscreteEmGeneratorTotalEventTraceLaplacianStateIntegralSourceEventLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle150GeneralMovingTargetDiscreteEmGeneratorTotalEventTraceLawIntegralSourceEventDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle151GeneralMovingTargetDiscreteEmGeneratorTotalEventTraceLaplacianStateIntegralPointwiseEventObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle151GeneralMovingTargetDiscreteEmGeneratorTotalEventTraceLaplacianStateIntegralPointwiseEventDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle151GeneralMovingTargetDiscreteEmGeneratorPointwiseEventSourceFieldLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle151GeneralMovingTargetDiscreteEmGeneratorPointwiseEventSourceFieldDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle152GeneralMovingTargetDiscreteEmGeneratorEventSourceFieldStdBasisLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle152GeneralMovingTargetDiscreteWeakFpSourceFieldStdBasisScoutObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle152GeneralMovingTargetDiscreteWeakFpSourceFieldPointwiseLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle152GeneralMovingTargetDiscreteEmGeneratorEventSourceFieldStdBasisDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle153GeneralMovingTargetDiscreteEmGeneratorLaplacianStateIntegralSourceFunctionalLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle153GeneralMovingTargetDiscreteEmGeneratorLaplacianStateIntegralStdBasisSourceFunctionalLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle153GeneralMovingTargetDiscreteEmGeneratorLaplacianStateIntegralSourceFunctionalDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle154GeneralMovingTargetDiscreteEmGeneratorLaplacianStateIntegralTraceFieldSourceFunctionalLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle154GeneralMovingTargetDiscreteEmGeneratorLaplacianStateIntegralTraceLawIntegralLaplacianFieldScoutObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle154GeneralMovingTargetDiscreteEmGeneratorLaplacianStateIntegralTraceStateIntegralLaplacianFieldLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle154GeneralMovingTargetDiscreteEmGeneratorLaplacianStateIntegralTraceFieldSourceFunctionalDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle155GeneralMovingTargetDiscreteEmGeneratorTraceStateIntegralLaplacianFieldLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle155GeneralMovingTargetDiscreteEmGeneratorTraceStateIntegralLaplacianFieldDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle156GeneralMovingTargetDiscreteEmGeneratorTraceFieldPointwiseLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle156GeneralMovingTargetDiscreteEmGeneratorTraceFieldPointwiseDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle157GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldPointwiseStdBasisLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle157GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldPointwiseLaplacianScoutObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle157GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldPointwiseScalarLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle157GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldPointwiseStdBasisDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle158GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldPointwiseScalarAuditObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle158GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldBrownianDefLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle158GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldPointwiseScalarAuditDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle159GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldBrownianPointwiseLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle159GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldBrownianPointwiseStdBasisLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle159GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldBrownianPointwiseDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle160GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle160GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoPointwiseScoutObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle160GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoPointwiseCoordinateLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle160GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle161GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoCoordinateGeneratorLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle161GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoOneDimTaylorScoutObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle161GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoOneDimTaylorMomentLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle161GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoCoordinateGeneratorDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle162GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoTaylorRemainderLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle162GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoNormalizedRemainderScoutObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle162GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoNormalizedRemainderDctLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle162GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoTaylorRemainderDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle163GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoPointwiseTaylorLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle163GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoNormalizedRemainderSourceEqLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle163GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoPointwiseTaylorDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle164GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoNormalizedRemainderMeasLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle164GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoNormalizedRemainderQuadraticBoundIntLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle164GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoNormalizedRemainderMeasDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle165GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoNormalizedRemainderQuadraticBoundLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle165GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoTaylorQuotientSplitLower2Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle165GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoNormalizedRemainderQuadraticBoundDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle166GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoFirstOrderRemainderLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle166GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoIntervalTaylorLower1Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle166GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSignedIntervalTaylorLower2Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle166GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoFirstOrderRemainderDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle167GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoTaylorReflectMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle167GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoTaylorReflectDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle167GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoTaylorCompatLower1Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle167GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoLineContDiffLower2Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle168GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSourceContDiffMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle168GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoLineSecondLower2Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle169GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoDirectionalSecondMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle169GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoDirectionalSecondLower2Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle167GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoTaylorCompatLower1Dag`	def	data-explained
`AutoSamplingTheory.SALD.cycle168GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSourceContDiffDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle169GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoDirectionalSecondDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle170GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianOpNormLower2Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle170GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianOpNormDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle171GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianSourceMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle171GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianSourceDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle171GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianSourceLower1Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle171GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianSourceLower2Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle172GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianSourceMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle172GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianSourceDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle172GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianSourceLower1Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle172GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianSourceLower2Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle173GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianSourceMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle173GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianSourceLower1Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle173GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianSourceLower2Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle173GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianSourceDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle174GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoQuadraticVariationMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle174GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoQuadraticVariationLower1Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle174GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoQuadraticVariationLower2Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle174GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoQuadraticVariationDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle175GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoTaylorDominationMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle175GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoQuadraticCoeffLower1Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle175GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoQuadraticCoeffLower2Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle175GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoTaylorDominationDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle176GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoVarianceOneMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle176GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoVarianceOneLower1Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle176GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoVarianceOneLower2Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle176GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoVarianceOneDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle177GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSecondTaylorCoeffMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle177GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSecondTaylorCoeffDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle178GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoNormalizedVarianceMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle178GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoNormalizedCoordinateLawLower1Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle178GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoNormalizedCoordinateLawLower2Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle178GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoNormalizedVarianceDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle179GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianAuditScalarLineCoeffMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle179GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianAuditScalarLineCoeffDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle179GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoScalarLineCoeffLower1Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle179GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoScalarLineCoeffLower2Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle180GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoTaylorMomentMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle180GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoPolynomialIntegrabilityLower1Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle180GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoDominatedRemainderLower2Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle180GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoTaylorMomentDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle183GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSourceIntegralMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle183GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoTaylorIntegrandLower2Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle183GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSourceIntegralDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle184GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSourceIntegralLawMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle184GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoNormalizedLawLower2Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle184GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSourceIntegralLawDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle185GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoRemainderLimitLower2Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle185GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoRemainderLimitDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle186GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSourceTaylorIntegrandPointwiseMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle186GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSourceTaylorIntegrandPointwiseDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle186GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSourceLinearTermLower2Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle186GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSourceLinearTermLower2Dag`	def	data-explained
`AutoSamplingTheory.SALD.cycle187GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSourceQuadraticTermMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle187GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSourceQuadraticTermDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle188GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSourceTaylorIntegrandDefMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle188GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSourceTaylorIntegrandDefDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle188GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSelectedLineTaylorSplitLower2Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle188GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSelectedLineTaylorSplitLower2Dag`	def	data-explained
`AutoSamplingTheory.SALD.cycle189GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoTaylorIntegralRawTermsMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle189GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoTaylorIntegralRawTermsDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle189GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSourceTaylorIntegrandRawLower2Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle189GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSourceTaylorIntegrandRawLower2Dag`	def	data-explained
`AutoSamplingTheory.SALD.cycle190GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSelectedIncrementCoordinateLineMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle190GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSelectedIncrementCoordinateLineDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle190GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoRemainderLimitLower2Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle190GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoRemainderLimitLower2Dag`	def	data-explained
`AutoSamplingTheory.SALD.cycle191GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSourceIntegralLower2Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle191GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSourceIntegralLower2Dag`	def	data-explained
`AutoSamplingTheory.SALD.cycle192GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoTaylorIntegralLower2Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle192GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoTaylorIntegralLower2Dag`	def	data-explained
`AutoSamplingTheory.SALD.cycle193GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoTaylorMomentMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle193GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoTaylorMomentRemainderLimitLower2Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle193GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoTaylorMomentRemainderLimitLower2Dag`	def	data-explained
`AutoSamplingTheory.SALD.cycle193GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoTaylorMomentMiddleDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle197GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoNormalizedRemainderBoundDefLower2Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle197GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoNormalizedRemainderBoundDefLower2Dag`	def	data-explained
`AutoSamplingTheory.SALD.cycle198GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoCoordinateSumLower2Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle198GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoCoordinateSumLower2Dag`	def	data-explained
`AutoSamplingTheory.SALD.cycle201GeneralMovingTargetDiscreteEmInterpolationSelectedTestLaplacianContinuityLower2Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle201GeneralMovingTargetDiscreteEmInterpolationSelectedTestLaplacianContinuityLower2Dag`	def	data-explained
`AutoSamplingTheory.SALD.cycle202GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSelectedEndpointCoordinateLineLower2Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle202GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSelectedEndpointCoordinateLineLower2Dag`	def	data-explained
`AutoSamplingTheory.SALD.cycle203GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSelectedIncrementEndpointLower2Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle203GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSelectedIncrementEndpointLower2Dag`	def	data-explained
`AutoSamplingTheory.SALD.cycle204GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSourceTaylorIntegrandSelectedIncrementLower2Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle204GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSourceTaylorIntegrandSelectedIncrementLower2Dag`	def	data-explained
`AutoSamplingTheory.SALD.cycle205GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSelectedLineTaylorRawSplitLower2Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle205GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSelectedLineTaylorRawSplitLower2Dag`	def	data-explained
`AutoSamplingTheory.SALD.cycle206GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoRemainderPullbackMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle206GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoRemainderPullbackMiddleDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle206GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoRemainderPullbackLower2Obligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle206GeneralMovingTargetDiscreteEmGeneratorLaplacianEventFieldFrozenScalarBrownianItoRemainderPullbackLower2Dag`	def	data-explained
`AutoSamplingTheory.SALD.cycle130GeneralMovingTargetDiscreteEmLaplacianIbPDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle70GeneralMovingTargetDiscreteConditionalLawDag`	def	data-explained
`AutoSamplingTheory.SALD.cycle69MainSkeletonAnalyticInterfaceDag`	def	data-explained
`AutoSamplingTheory.SALD.guidedResidualNormalizerObligation`	def	data-explained
`AutoSamplingTheory.SALD.guidedResidualIdentityObligation`	def	data-explained
`AutoSamplingTheory.SALD.generalMovingTargetDerivativeObligation`	def	data-explained
`AutoSamplingTheory.SALD.generalMovingTargetDvEnergyObligation`	def	data-explained
`AutoSamplingTheory.SALD.generalMovingTargetDvPositiveAlphaScalingObligation`	def	data-explained
`AutoSamplingTheory.SALD.generalMovingTargetDvFiniteLogMgfWitnessObligation`	def	data-explained
`AutoSamplingTheory.SALD.generalMovingTargetGronwallApplicationObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle24GeneralVaSaldGronwallMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.generalMovingTargetGronwallSideConditionObligation`	def	data-explained
`AutoSamplingTheory.SALD.generalMovingTargetPureContractionObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle16UnifiedForwardKlTransportBridgeMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle16UnifiedForwardKlTransportBridgeLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.unifiedForwardKlTransportBridgeObligation`	def	data-explained
`AutoSamplingTheory.SALD.unifiedForwardKlSpecializationObligation`	def	data-explained
`AutoSamplingTheory.SALD.generalVaSaldGuidedPathMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle64GeneralMovingTargetDiscreteConditionalDriftLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteEmInterpolationObligation`	def	data-explained
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteConstantScheduleObligation`	def	data-explained
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteFrozenDeltaObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle28GeneralVaSaldDerivativeSideMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle28GeneralVaSaldDerivativeSideLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteDerivativeSideConditionObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle54GeneralMovingTargetDiscreteEmFpLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteDerivativeObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle53GeneralMovingTargetDiscreteDerivativeDvLowerObligation`	def	data-explained
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteDvMEnergyObligation`	def	data-explained
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteDvFiniteLogMgfWitnessObligation`	def	data-explained
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteGronwallApplicationObligation`	def	data-explained
`AutoSamplingTheory.SALD.cycle20GeneralVaSaldDiscreteGronwallMiddleObligation`	def	data-explained
`AutoSamplingTheory.SALD.generalMovingTargetDiscreteGronwallSideConditionObligation`	def	data-explained
`AutoSamplingTheory.SALD.discreteUnifiedVaSaldSpecializationObligation`	def	data-explained
`AutoSamplingTheory.SALD.gronwallContract`	def	data-explained
`AutoSamplingTheory.SALD.dvContract`	def	data-unresolved
`AutoSamplingTheory.SALD.piDefinitionContract`	def	data-explained
`AutoSamplingTheory.SALD.lsiKlFiVocabularyContract`	def	data-unresolved
`AutoSamplingTheory.SALD.continuousSaldContract`	def	data-unresolved
`AutoSamplingTheory.SALD.forwardKlProofDag`	def	data-explained
`AutoSamplingTheory.SALD.discreteForwardKlProofDag`	def	data-explained
`AutoSamplingTheory.SALD.discreteSaldContract`	def	data-unresolved
`AutoSamplingTheory.SALD.generalVaSaldProofDag`	def	data-explained
`AutoSamplingTheory.SALD.generalVaSaldDiscreteProofDag`	def	data-explained
`AutoSamplingTheory.SALD.guidedResidualContract`	def	data-explained
`AutoSamplingTheory.SALD.generalVaSaldContract`	def	data-unresolved
`AutoSamplingTheory.SALD.unifiedForwardKlContract`	def	data-explained
`AutoSamplingTheory.SALD.generalVaSaldDiscreteContract`	def	data-unresolved
`AutoSamplingTheory.SALD.saldTheoremContracts`	def	data-explained
`AutoSamplingTheory.SALD.saldSourceForLabel`	def	needed
`AutoSamplingTheory.SALD.saldLeanTargetForLabel`	def	needed
`AutoSamplingTheory.SALD.cycle49MainSkeletonDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle50ForwardKlDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle51DiscreteForwardKlDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle52GuidedGeneralDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle53UnifiedDiscreteGeneralDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle54MainSkeletonDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle55ForwardKlDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle56DiscreteForwardKlDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle57GuidedGeneralDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle58UnifiedDiscreteGeneralDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle59MainSkeletonDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle60ForwardKlDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle65ForwardKlDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle61DiscreteForwardKlDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle66DiscreteForwardKlDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle62GuidedGeneralDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle67GuidedGeneralDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle68UnifiedDiscreteGeneralDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle69MainSkeletonDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle70EmConditionalLawDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle71EmEndpointConditionalDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle72EmWeakFpDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle73EmKlDerivativeWeakFpDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle74EmConditionalKernelMeasureDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle75EmConditionalLawBackfillDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle76EmEndpointConditionalDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle77EmWeakFpSourceSignsDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle78EmKlDerivativeGeneratorDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle79EmWeakFpGeneratorMeasureDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle80EmConditionalLawMeasurabilityDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle81EmEndpointConditionalDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle82EmWeakFpSourceSignsDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle83EmKlDerivativeEndpointWeakFpDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle84ActiveEmBackendDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle85EmConditionalKernelBoundaryDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle86EmWeakFpGeneratorBoundaryDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle87EmKlLogRatioBoundaryDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle88EmKlLogRatioAdmissibilityDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle89DiscreteForwardKlPressureDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle90DiscreteForwardKlMassConservationDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle91EmConditionalKernelDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle92EmWeakFpGeneratorSplitDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle93EmKlMassDerivativeDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle94EmWeakFpDriftActionDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle95DiscreteForwardKlPressureDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle96EmCondexpGeneratorPairingDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle97EmCanonicalCondDistribPairingDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle98EmBarBDivergenceNoBoundaryDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle99EmRawKlDerivativeDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle100EmBarBWeakGradDefDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle101DiscreteForwardKlPressureDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle102DiscreteForwardKlZeroFluxTraceBoundaryDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle103EmConditionalKernelComponentVersionDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle104EmWeakFpNamedLawTransportDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle105EmPureRawKlDerivativeDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle106EmCanonicalCondDistribDriftDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle107DiscreteForwardKlBoundaryFluxDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle108DiscreteForwardKlHatRhoBarBFluxContinuityDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle108DiscreteForwardKlHatRhoBarBFluxDerivativeDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle109EmNamedBarBSourceDefDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle110EmNamedBarBEqMeasDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle110EmWeakFpDominatedGeneratorDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle111EmKlTargetTimeDerivativeDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle112EmNamedBarBCondExpRepresentativeDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle113EmNamedBarBStateFieldRegularityDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle114EmCanonicalBarBStateEventSetIntegralDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle115EmNamedBarBSelectedVersionDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle116EmCanonicalBarBCondExpDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle117EmNamedBarBVersionSelectionDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle118EmCanonicalBarBDownstreamDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle119EmCanonicalBarBWeakFpConsumerDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle120EmPathDerivativeDominationDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle121EmSampleMeasDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle122EmSampleIntDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle123EmSampleDerivMeasDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle124EmSampleDerivBoundDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle124EmBoundIntDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle125EmPathDerivDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle126EmDerivValueDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle127EmDriftActionDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle128EmNoBoundaryTraceDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle129EmDiffusionSourceDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle130EmLaplacianIbPDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle131EmSecondGreenNoBoundaryFluxDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle132EmSecondGreenTestTraceZeroDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle133EmSecondGreenPointwiseTestTraceZeroDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle134EmTestLaplacianSourcePullbackDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle135EmTestLaplacianStdBasisDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle136EmWeakFpStdBasisSourceDensityDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle137EmWeakFpDensityLaplacianActionDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle138EmFirstGreenPointwiseBoundaryFluxDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle139EmWeakFpSourceLaplacianDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle140EmLaplacianSourceStateIntegralDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle141EmGeneratorStdBasisSourceDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle142EmGeneratorTraceStateIntegralDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle143EmGeneratorLaplacianStateEventDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle144EmGeneratorLaplacianStdBasisEventDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle145EmGeneratorLaplacianStdBasisLawDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle146EmGeneratorTraceEventTotalEventDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle147EmGeneratorPointwiseActionDefTraceLaplacianDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle148EmGeneratorPointwiseStateEventTraceLaplacianDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle149EmGeneratorTotalEventStdBasisSourceFunctionalDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle150EmGeneratorTotalEventTraceLawIntegralDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle151EmGeneratorTotalEventTraceLaplacianStateIntegralPointwiseEventDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle152EmGeneratorEventSourceFieldStdBasisDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle153EmGeneratorLaplacianStateIntegralSourceFunctionalDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle154EmGeneratorLaplacianStateIntegralTraceFieldSourceFunctionalDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle155EmGeneratorTraceStateIntegralLaplacianFieldDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle156EmGeneratorTraceFieldPointwiseDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle157EmGeneratorLaplacianEventFieldPointwiseStdBasisDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle158EmGeneratorLaplacianEventFieldPointwiseScalarAuditDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle159EmGeneratorLaplacianEventFieldBrownianPointwiseDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle160EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle161EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoCoordinateGeneratorDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle162EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoTaylorRemainderDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle163EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoPointwiseTaylorDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle164EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoMeasDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle165EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHBoundDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle166EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHFirstDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle167EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoTaylorReflectDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle168EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSourceContDiffDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle169EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoDirectionalSecondDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle170EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianOpNormDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle171EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianSourceDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle172EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianSourceDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle173EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianSourceDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle174EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoQuadraticVariationDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle175EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoTaylorDominationDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle176EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoVarianceOneDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle177EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSecondTaylorCoeffDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle178EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoNormalizedVarianceDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle179EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoHessianAuditScalarLineCoeffDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle180EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoTaylorMomentDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle183EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSourceIntegralDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle184EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSourceIntegralLawDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle185EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoRemainderLimitDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle186EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSourceTaylorIntegrandDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle187EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSourceQuadraticTermDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle188EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSourceTaylorIntegrandDefDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle189EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoTaylorIntegralRawTermsDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle190EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSelectedIncrementCoordinateLineDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle191EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSourceIntegralScalarPushforwardDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle192EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoTaylorIntegralScalarPushforwardDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle193EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoTaylorMomentScalarPushforwardDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle197EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoNormalizedRemainderBoundDefDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle198EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoCoordinateSumDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle199EmInterpolationWeakFpSourceLaplacianFieldMeasDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle201EmInterpolationSelectedTestLaplacianContinuityDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle202EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSelectedEndpointCoordinateLineDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle203EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSelectedIncrementEndpointDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle204EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSourceTaylorIntegrandSelectedIncrementDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle205EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoSelectedLineTaylorRawSplitDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle206EmGeneratorLaplacianEventFieldFrozenScalarBrownianItoRemainderPullbackDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle63UnifiedDiscreteGeneralDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.cycle64MainSkeletonDependencyNames`	def	data-explained
`AutoSamplingTheory.SALD.saldDependenciesForLabel`	def	needed
`AutoSamplingTheory.SALD.saldReusedByForLabel`	def	needed
`AutoSamplingTheory.SALD.saldStatusForLabel`	def	needed
`AutoSamplingTheory.SALD.saldFirstProofDag`	def	data-unresolved
`AutoSamplingTheory.SALD.saldExcludedFiles`	def	data-unresolved
`AutoSamplingTheory.ItoDiffusionContract`	structure	needed
`AutoSamplingTheory.FokkerPlanckContract`	structure	needed
`AutoSamplingTheory.EulerMaruyamaContract`	structure	needed
`AutoSamplingTheory.DiscretizationErrorContract`	structure	needed
`AutoSamplingTheory.TechnicalLemmas.Algebra.linear_growth_of_step_growth`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Algebra.reciprocal_growth_implies_inverse_time_bound`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.BoundedQuadraticCostIntegrability.norm_sub_lt_center_distance_add_two_radius`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.BoundedQuadraticCostIntegrability.integrable_norm_sub_sq_of_prob_one_bounded_rectangle`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.BoundedQuadraticCostIntegrability.integrable_cross_norm_sub_sq_of_prob_one_bounded_rectangles`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Cutoff.smoothUnitCutoff`	def	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Cutoff.smoothUnitCutoff_eq_smoothTransition`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Cutoff.smoothUnitCutoff_contDiff`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Cutoff.smoothUnitCutoff_eq_one_of_abs_le_one`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Cutoff.smoothUnitCutoff_eq_zero_of_two_le_abs`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Cutoff.smoothUnitCutoff_mem_Icc`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Cutoff.smoothUnitCutoff_hasCompactSupport`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Cutoff.smoothUnitCutoff_deriv_bounded`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Cutoff.smoothUnitCutoff_secondDeriv_continuous`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Cutoff.smoothUnitCutoff_secondDeriv_hasCompactSupport`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Cutoff.smoothUnitCutoff_secondDeriv_bounded`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Cutoff.radialSmoothCutoff`	def	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Cutoff.radialSmoothCutoff_eq_one_of_norm_le`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Cutoff.radialSmoothCutoff_eq_zero_of_two_mul_le_norm`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Cutoff.radialSmoothCutoff_mem_Icc`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Cutoff.fderiv_norm_div_bound`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Cutoff.radialSmoothCutoff_contDiff`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Cutoff.radialSmoothCutoff_fderiv_bound`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Cutoff.radialSmoothCutoff_fderiv_eq_zero_of_two_mul_le_norm`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Cutoff.radialSmoothCutoff_support_subset_closedBall`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Cutoff.radialSmoothCutoff_tsupport_subset_closedBall`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Cutoff.radialSmoothCutoff_hasCompactSupport`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Cutoff.radialSmoothCutoff_iteratedFDeriv_two_bound`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Cutoff.radialSmoothCutoff_tendsto_one`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Cutoff.exists_contDiff_eq_one_tsupport_subset`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.coordinateDivergence`	def	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.coordinateDivergence_eq_sum_lineDeriv`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.coordinateDivergence_eq_sum_fderiv_apply_of_hasFDerivAt`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.coordinateDivergence_eq_sum_fderiv_apply_of_differentiableAt`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.continuousLinearEquiv_apply_euclideanSpace_single`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.hasFDerivAt_radialSmoothCutoff_comp_toLp`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.tendsto_integral_norm_fderiv_radialSmoothCutoff_comp_toLp_apply`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.tendsto_integral_radialSmoothCutoff_comp_toLp_smul`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.tendsto_setIntegral_norm_norm_ge_comp_toLp`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.sum_smulRight_apply_pi_single_eq_apply`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.coordinateDivergence_wrapped_toPi_trace_of_hasFDerivAt`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.eventuallyEq_restrict_Icc_of_eqOn_univ_pi_Ioo_diff_countable`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.coordinateDivergence_wrapped_toPi_trace_ae_of_ae_hasFDerivAt`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.coordinateDivergence_wrapped_toPi_trace_ae_of_hasFDerivAt_off_countable`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.integrableOn_coordinateDivergence_wrapped_of_integrableOn_trace_of_hasFDerivAt_off_countable`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.integral_coordinateDivergence_toPi_box_of_hasFDerivAt_off_countable`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.integral_coordinateDivergence_toPi_box_of_integrableOn_trace_of_hasFDerivAt_off_countable`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.signedFaceTermSum_eq_zero_of_boundary_component_eq_zero`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.signedFaceTermSum_eq_zero_of_update_boundary_component_eq_zero`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.update_boundary_component_eq_zero_of_eq_zero_off_univ_pi_Ioo`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.signedFaceTermSum_eq_zero_of_eq_zero_off_univ_pi_Ioo`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.eq_zero_off_univ_pi_Ioo_of_support_subset_univ_pi_Ioo`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.exists_contDiff_cutoff_tsupport_subset_univ_pi_Ioo`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.support_subset_univ_pi_Ioo_of_tsupport_subset_univ_pi_Ioo`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.exists_contDiff_cutoff_support_subset_univ_pi_Ioo`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.exists_contDiff_support_eq_univ_pi_Ioo`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.positive_on_univ_pi_Ioo_of_support_eq_univ_pi_Ioo`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.Icc_subset_univ_pi_Ioo_of_strict_bounds`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.exists_contDiff_cutoff_eq_one_on_Icc_tsupport_subset_outer_univ_pi_Ioo`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.exists_contDiff_cutoff_support_subset_outer_univ_pi_Ioo_of_mem_Icc`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.signedFaceTermSum_eq_zero_of_support_subset_univ_pi_Ioo`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.support_smul_subset_univ_pi_Ioo_of_eq_zero_off_univ_pi_Ioo`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.support_smul_subset_univ_pi_Ioo_of_scalar_support_subset_univ_pi_Ioo`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.support_smul_subset_univ_pi_Ioo_of_scalar_tsupport_subset_univ_pi_Ioo`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.continuousOn_smul_vectorField_of_continuousOn`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.hasFDerivAt_smul_vectorField_of_hasFDerivAt`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.hasFDerivAt_smul_vectorField_off_countable`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.continuousOn_smul_vectorField_trace_of_component_continuousOn`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.continuousOn_smul_vectorField_trace_of_components`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.integrableOn_smul_vectorField_trace_of_continuousOn`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.signedFaceTermSum_smul_eq_zero_of_cutoff_eq_zero_off_univ_pi_Ioo`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.signedFaceTermSum_smul_eq_zero_of_scalar_support_subset_univ_pi_Ioo`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.signedFaceTermSum_smul_eq_zero_of_scalar_tsupport_subset_univ_pi_Ioo`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.integral_coordinateDivergence_toPi_box_eq_zero_of_integrableOn_trace_of_hasFDerivAt_off_countable`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.integral_coordinateDivergence_toPi_box_eq_zero_of_boundary_component_eq_zero`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.integral_coordinateDivergence_toPi_box_eq_zero_of_update_boundary_component_eq_zero`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.integral_coordinateDivergence_toPi_box_eq_zero_of_eq_zero_off_univ_pi_Ioo`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.integral_coordinateDivergence_toPi_box_eq_zero_of_support_subset_univ_pi_Ioo`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.integral_coordinateDivergence_toPi_box_eq_zero_of_cutoff_eq_zero_off_univ_pi_Ioo`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.integral_coordinateDivergence_toPi_box_eq_zero_of_scalar_support_subset_univ_pi_Ioo`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.integral_coordinateDivergence_toPi_box_eq_zero_of_scalar_tsupport_subset_univ_pi_Ioo`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.integral_coordinateDivergence_toPi_box_eq_zero_of_cutoff_eq_zero_off_univ_pi_Ioo_of_regularity`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.integral_coordinateDivergence_toPi_box_eq_zero_of_cutoff_eq_zero_off_univ_pi_Ioo_of_trace_continuous`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.integral_coordinateDivergence_toPi_box_eq_zero_of_cutoff_eq_zero_off_univ_pi_Ioo_of_component_continuous`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.integral_coordinateDivergence_toPi_box_eq_zero_of_scalar_support_subset_univ_pi_Ioo_of_regularity`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.integral_coordinateDivergence_toPi_box_eq_zero_of_scalar_support_subset_univ_pi_Ioo_of_fderiv`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.integral_coordinateDivergence_toPi_box_eq_zero_of_scalar_support_subset_univ_pi_Ioo_of_trace_continuous`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.integral_coordinateDivergence_toPi_box_eq_zero_of_scalar_support_subset_univ_pi_Ioo_of_component_continuous`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Divergence.integral_coordinateDivergence_wrapped_eq_zero_of_contDiff_of_hasCompactSupport`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Gradient.hasGradientAt_expNegPotential_of_hasGradientAt`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Gradient.gradient_expNegPotential_eq_of_hasGradientAt`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Gradient.gradient_expNegPotential_coordinate_eq_of_hasGradientAt`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Gradient.gradient_expNegPotential_eq_of_differentiableAt`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Gradient.gradient_expNegPotential_coordinate_eq_of_differentiableAt`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Gradient.continuous_gradient_of_contDiff_one`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Gradient.fderiv_apply_eq_inner_of_hasGradientAt`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Gradient.fderiv_apply_eq_inner_gradient_of_differentiableAt`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Gradient.fderiv_apply_coordinate_eq_gradient_coordinate_of_differentiableAt`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Gradient.hasGradientAt_coordinateUnit_hasLineDerivAt`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.GradientAlgebra.HasGradientAt.mul`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.GradientAlgebra.HasGradientAt.comp_real`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.GradientAlgebra.HasGradientAt.inv`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.GradientAlgebra.HasGradientAt.div`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.GradientAlgebra.gradient_mul_eq_of_differentiableAt`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.GradientAlgebra.gradient_comp_real_eq_of_differentiableAt`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.GradientAlgebra.gradient_inv_eq_of_differentiableAt`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.GradientAlgebra.gradient_div_eq_of_differentiableAt`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Laplacian.laplacian_eq_sum_stdOrthonormalBasis`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Laplacian.laplacianFunctional_eq_of_stdOrthonormalBasis_sum`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Laplacian.continuous_laplacian_of_contDiff_two`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Laplacian.norm_laplacian_le_finrank_mul_norm_iteratedFDeriv_two`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.Laplacian.radialSmoothCutoff_laplacian_bound`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.LineDeriv.hasLineDerivAt_mul`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.LineDeriv.hasLineDerivAt_rho_mul`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.LineDeriv.lineDeriv_rho_mul_eq_of_hasLineDerivAt`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.LineDeriv.lineDeriv_expNegPotential_mul_eq_of_differentiableAt`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.LineDeriv.hasLineDerivAt_fderiv_apply_const_of_hasFDerivAt_fderiv`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.LineDeriv.lineDeriv_fderiv_apply_const_eq_of_hasFDerivAt_fderiv`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.LineDeriv.lineDeriv_fderiv_apply_const_eq_iteratedFDeriv_two`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.LineDeriv.lineDeriv_fderiv_apply_coordinate_eq_iteratedFDeriv_two`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Calculus.LineDeriv.lineDeriv_expNegPotential_mul_fderiv_coordinate_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.ConvexAEDifferentiable.ae_differentiableAt_of_convexOn_univ`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.ConvexDomainACAEDifferentiable.ae_differentiableAt_of_convexOn_of_absolutelyContinuous`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.ConvexGradientGapSharpness.quadratic_gap_lower_bound`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.ConvexLocalSubgradient.SupportsOn`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.ConvexLocalSubgradient.supportsOn_of_supportsAt`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.ConvexLocalSubgradient.eq_gradient_of_supportsOn_of_hasFDerivAt`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.ConvexLocalSubgradient.supportsOn_unique_of_hasFDerivAt`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.ConvexOpenAEDifferentiable.ae_differentiableAt_of_convexOn_isOpen`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.ConvexSmoothGradient.gradient_gap_sq_le_bregman`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.ConvexSmoothGradient.gradient_cocoercive`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.ConvexSmoothGradient.gradient_lipschitz`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.ConvexSubgradient.SupportsAt`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.ConvexSubgradient.eq_gradient_of_supportsAt_of_hasFDerivAt`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.ConvexSubgradient.supportsAt_unique_of_hasFDerivAt`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.ConvexityC1.sub_eq_integral_gradient`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.ConvexityC1.strongConvexOn_univ_of_gradient_mono_integral`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.ConvexityC1.convexity_equivalences`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.ConvexityC2.gradient_sub_inner_eq_integral_fderiv2`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.ConvexityC2.gradient_mono_iff_fderiv2_lower`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.ConvexityC2.strongConvexOn_iff_fderiv2_lower`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.CycleSuccessorDistinct.cycleLength_pos_of_cycleValue_pos`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.CycleSuccessorDistinct.cycleSuccessorPerm_ne_self_of_pos`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.CyclicCostExpectation.integral_cyclicCost_lt_diagonal_of_uniform_cycleValue`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.CyclicQuadraticCost.cycleSuccessorPerm`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.CyclicQuadraticCost.cycleSuccessorPerm_apply`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.CyclicQuadraticCost.permutedPairingGap_cycleSuccessor_eq_cycleValue`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.CyclicQuadraticCost.diagonal_sub_cyclicCost_eq_two_cycleValue`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.CyclicQuadraticCost.cyclicQuadraticCost_lt_of_cycleValue_pos`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.DiagonalProductCostIntegral.integral_diagonalQuadraticCost_eq_sum`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.GibbsGradientMoment.absorb_quadratic`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.GibbsGradientMoment.weighted_square`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.GibbsGradientMoment.weighted_gradient`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.GibbsGradientMoment.directional_ibp`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.GibbsGradientMoment.gibbs_gradient_moment`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.GradientDescentBasic.gradient_step_descent_of_quadratic_upper_bound`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.GradientDescentComplexity.distance_le_of_log_bound`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.GradientDescentContraction.gradient_step_contraction`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.GradientDescentContraction.gradient_descent_distance_bound`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.GradientDescentOptimalStep.gradient_step_endpoint_bound`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.GradientDescentOptimalStep.optimal_gradient_step`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.GradientDescentPL.gradient_descent_pl_value_bound`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.GradientDescentRates.convex_value_le`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.GradientDescentRates.strongly_convex_value_le`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.GradientDescentSharpness.exists_quadratic_worst_case`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.GradientDescentStationarity.gradient_descent_sum_sq_bound`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.GradientDescentStationarity.exists_gradient_descent_norm_le`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.GradientDescentValue.gradient_step_energy_bound`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.GradientDescentValue.gradient_descent_weighted_value_bound`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.GradientFlowContraction.norm_sub_le`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.GradientFlowLastIterate.lyapunov_and_rates`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.GradientFlowPL.dissipation_and_decay`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.GradientFlowStationarity.exists_min_norm_le`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.GradientFlowValue.value_le`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.HessianStrongConvexity.strongConvexOn_univ_of_fderiv2_lower`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.Integrability.lintegral_ofReal_ne_top_of_integrable_nonneg`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Integrability.integrable_exp_neg_mul_norm_sq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Integrability.integrable_exp_neg_add_mul_norm_sq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Integrability.lintegral_exp_neg_add_mul_norm_sq_ne_top`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Integrability.integrable_exp_neg_add_mul_norm_sub_sq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Integrability.lintegral_exp_neg_add_mul_norm_sub_sq_ne_top`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Integrability.integrable_exp_neg_add_mul_abs`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Integrability.lintegral_exp_neg_add_mul_abs_ne_top`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Integrability.integral_exp_neg_add_mul_abs_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Integrability.lintegral_exp_neg_add_mul_abs_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Integrability.lintegral_exp_neg_mul_norm_sq_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Integrability.lintegral_exp_neg_add_mul_norm_sq_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Integrability.lintegral_exp_neg_add_mul_norm_sub_sq_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Integrability.isProbabilityMeasure_withDensity_exp_neg_add_mul_norm_sq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Integrability.isProbabilityMeasure_withDensity_exp_neg_add_mul_norm_sub_sq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Integrability.isProbabilityMeasure_withDensity_exp_neg_add_mul_abs`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Integrability.lintegral_gibbsDensityENNReal_ne_top_of_ae_quadratic_lower_bound`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Integrability.lintegral_gibbsDensityENNReal_ne_top_of_ae_centered_quadratic_lower_bound`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Integrability.lintegral_gibbsDensityENNReal_ne_top_of_ae_abs_linear_lower_bound`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Integrability.lintegral_gibbsDensityENNReal_ne_top_of_strongConvexOn_minimizer`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Integrability.isProbabilityMeasure_withDensity_normalized_gibbs_of_ae_quadratic_lower_bound`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Integrability.isProbabilityMeasure_withDensity_normalized_gibbs_of_ae_centered_quadratic_lower_bound`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Integrability.isProbabilityMeasure_withDensity_normalized_gibbs_of_ae_abs_linear_lower_bound`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.Integrability.isProbabilityMeasure_withDensity_normalized_gibbs_of_strongConvexOn_minimizer`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.LeftLebesgueAverage.leftAverageError`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.LeftLebesgueAverage.tendsto_sub_nhdsGT_zero_nhdsLT`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.LeftLebesgueAverage.ae_tendsto_leftAverageError_real`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.LeftLebesgueAverage.ae_tendsto_leftAverageError`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.LeftLebesgueAverage.ae_tendsto_leftAverageError_two_mul`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.LeftLebesgueAverage.abs_normalized_setIntegral_sub_le_two_mul_leftAverageError`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.MeasurableGradient.measurable_gradient`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingClosedChain.chainValue`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingClosedChain.PairingClosedChainMonotone`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingClosedChain.chainValue_singleton`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingClosedChain.chainValue_append_cons`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingClosedChain.exists_split_of_mem`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingClosedChain.exists_duplicate_split`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingClosedChain.chainValue_duplicate_split`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingClosedChainMonotonicity.tuplePathValue`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingClosedChainMonotonicity.chainValue_ofFn_eq_tuplePathValue`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingClosedChainMonotonicity.tuplePathValue_at_first_eq_cycle_sum`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingClosedChainMonotonicity.chainValue_ofFn_at_first_eq_cycle_sum`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingClosedChainMonotonicity.chainValue_nonpos_of_nodup`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingClosedChainMonotonicity.pairingClosedChainMonotone_of_distinct_aux`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingClosedChainMonotonicity.pairingClosedChainMonotone_of_distinct`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingCycleNeighborhood.cycleValue`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingCycleNeighborhood.continuous_cycleValue`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingCycleNeighborhood.exists_pairwiseDisjoint_open_rectangles_of_cycleValue_pos`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingCycleQuantitativeNeighborhood.exists_pairwiseDisjoint_bounded_open_rectangles_of_cycleValue_pos`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingCyclicMonotonicity.PairingCycleMonotone`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingCyclicMonotonicity.PairingDistinctCycleMonotone`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingCyclicMonotonicity.PairingShiftedCycleMonotone`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingCyclicMonotonicity.cycle_increment_sum_eq_shifted_sub_diag`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingCyclicMonotonicity.pairingCycleMonotone_iff_shifted`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingCyclicMonotonicity.PairingCycleMonotone.distinct`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingCyclicMonotonicity.PairingCycleMonotone.mono`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingCyclicMonotonicity.PairingDistinctCycleMonotone.mono`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingCyclicMonotonicity.pairingCycleMonotone_empty`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingRockafellarConvexDomain.chainValue_convexCombination`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingRockafellarConvexDomain.bddAbove_properValueSet`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingRockafellarConvexDomain.coe_chainValue_le_potential`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingRockafellarConvexDomain.properRockafellarPotential_combo_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingRockafellarConvexDomain.properRockafellarPotential_combo_lt_top`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingRockafellarConvexDomain.convex_effectiveDomain`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingRockafellarPotential.rockafellarValueSet`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingRockafellarPotential.properRockafellarValueSet`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingRockafellarPotential.properRockafellarPotential`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingRockafellarPotential.EffectiveDomain`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingRockafellarPotential.singleton_mem_rockafellarValueSet`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingRockafellarPotential.rockafellarValueSet_nonempty`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingRockafellarPotential.properRockafellarValueSet_nonempty`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingRockafellarPotential.rockafellarValueSet_at_root_nonpos`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingRockafellarPotential.isGreatest_zero_properRockafellarValueSet_at_root`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingRockafellarPotential.properRockafellarPotential_at_root_eq_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingRockafellarPotential.root_mem_effectiveDomain`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingRockafellarPotential.effectiveDomain_nonempty`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingRockafellarPotential.properRockafellarPotential_at_root_eq_zero_of_distinct`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingRockafellarRealDomain.finitePart`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingRockafellarRealDomain.finitePart_eq_untop_of_lt_top`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingRockafellarRealDomain.coe_finitePart_of_lt_top`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingRockafellarRealDomain.coe_finitePart_on_effectiveDomain`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingRockafellarRealDomain.convexOn_finitePart_effectiveDomain`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingRockafellarRealSupport.finitePart_support_on_effectiveDomain`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingRockafellarRealSupport.finitePart_support_on_effectiveDomain_of_mem`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingRockafellarSubgradient.chainValue_concat_singleton`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingRockafellarSubgradient.add_inner_mem_rockafellarValueSet`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingRockafellarSubgradient.rockafellarValueSet_le_inner_of_mem`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingRockafellarSubgradient.bddAbove_properRockafellarValueSet`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingRockafellarSubgradient.coe_le_properRockafellarPotential_of_mem`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingRockafellarSubgradient.properRockafellarPotential_lt_top_of_mem`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingRockafellarSubgradient.ProperSupportsAt`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingRockafellarSubgradient.properSupportsAt_of_mem`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingRockafellarSubgradient.properSupportsAt_of_mem_of_distinct`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingRockafellarSupportGradient.eq_gradient_of_properSupportsAt_of_mem_interior`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PairingRockafellarSupportGradient.snd_eq_gradient_of_mem_of_mem_interior`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PermutedProductCostIntegral.measurePreserving_pair_eval`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PermutedProductCostIntegral.integral_permutedQuadraticCost_eq_sum`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PermutedQuadraticCost.diagonalQuadraticCost`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PermutedQuadraticCost.permutedQuadraticCost`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PermutedQuadraticCost.permutedPairingGap`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PermutedQuadraticCost.quadraticCostDifference_pointwise`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PermutedQuadraticCost.diagonal_sub_permuted_eq_two_pairingGap`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PermutedQuadraticCost.permutedQuadraticCost_lt_of_pairingGap_pos`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PrefixIntegral.prefixIntegral`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PrefixIntegral.prefixIntegral_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PrefixIntegral.prefixIntegrand_eq_indicator`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PrefixIntegral.prefixIntegral_eq_setIntegral`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PrefixIntegral.prefixIntegral_eq_of_le_horizons`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PrefixIntegral.continuous_prefixIntegral`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PrefixIntegral.prefixIntegral_mono`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.PrefixIntegral.prefixIntegral_eq_terminal_of_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Analysis.QuadraticGradientDescent.quadratic_gradient_iterate`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.QuadraticGradientDescent.quadratic_eigenmode`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.QuadraticRegularization.strongConvexOn_and_lipschitzWith_gradient_add_quadratic`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.QuadraticRegularizationFirstOrder.curvature_gradient_and_smoothness`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.QuadraticRegularizationOracle.run`	def	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.QuadraticRegularizationOracle.simulate_regularized`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.QuadraticRegularizationTransfer.exists_minimizer_radius_and_accuracy`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.RestartLogComplexity.logarithmic_accuracy_and_cost`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.RestartReduction.radius_accuracy_and_cost`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.SmoothnessEquivalences.upper_model_iff_gradient_upper`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.SmoothnessEquivalences.upper_model_iff_fderiv2_upper`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.StrongConvexFirstOrder.firstOrder_lower_bound_of_strongConvexOn`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.StrongConvexFirstOrder.gradient_inner_lower_bound_of_strongConvexOn`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.StrongConvexGibbsIntegrability.integrable_exp_neg_of_strongConvexOn`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.StrongConvexGradientConverse.strongConvexOn_of_gradient_inner_lower_bound`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.StrongConvexPLPullback.exists_minimizer_and_pl`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Analysis.UniformRegularization.uniform_accuracy_and_query_bound`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.FunctionalInequalities.ClosedGraphResolvent.weak_resolvent`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.FunctionalInequalities.Generator.dirichletForm`	def	authored
`AutoSamplingTheory.TechnicalLemmas.FunctionalInequalities.Generator.variance`	def	authored
`AutoSamplingTheory.TechnicalLemmas.FunctionalInequalities.Generator.PoincareAdmissible`	def	authored
`AutoSamplingTheory.TechnicalLemmas.FunctionalInequalities.Generator.SatisfiesPoincare`	def	authored
`AutoSamplingTheory.TechnicalLemmas.FunctionalInequalities.Generator.densityEntropy`	def	authored
`AutoSamplingTheory.TechnicalLemmas.FunctionalInequalities.Generator.LogSobolevAdmissible`	def	authored
`AutoSamplingTheory.TechnicalLemmas.FunctionalInequalities.Generator.SatisfiesLogSobolev`	def	authored
`AutoSamplingTheory.TechnicalLemmas.FunctionalInequalities.Poincare.variance`	def	needed
`AutoSamplingTheory.TechnicalLemmas.FunctionalInequalities.Poincare.dirichletEnergy`	def	needed
`AutoSamplingTheory.TechnicalLemmas.FunctionalInequalities.Poincare.Admissible`	def	needed
`AutoSamplingTheory.TechnicalLemmas.FunctionalInequalities.Poincare.Satisfies`	def	needed
`AutoSamplingTheory.TechnicalLemmas.FunctionalInequalities.Poincare.variance_nonneg`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.FunctionalInequalities.Poincare.dirichletEnergy_nonneg`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.FunctionalInequalities.Poincare.mono_constant`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.FunctionalInequalities.Poincare.variance_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.FunctionalInequalities.Poincare.mono_tests`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.FunctionalInequalities.SemigroupDecay.chewi_lemma_1_2_20`	theorem	existing-notes
`AutoSamplingTheory.TechnicalLemmas.FunctionalInequalities.SemigroupDecay.DissipationCurve`	structure	needed
`AutoSamplingTheory.TechnicalLemmas.FunctionalInequalities.SemigroupDecay.exponential_decay_of_scaled_dissipation_from`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.FunctionalInequalities.SemigroupDecay.exponential_decay_of_scaled_dissipation`	theorem	existing-notes
`AutoSamplingTheory.TechnicalLemmas.FunctionalInequalities.SemigroupDecay.scaled_dissipation_of_exponential_decay`	theorem	existing-notes
`AutoSamplingTheory.TechnicalLemmas.FunctionalInequalities.SemigroupDecay.chewi_theorem_1_2_21_forward_from`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.FunctionalInequalities.SemigroupDecay.chewi_theorem_1_2_21_forward`	theorem	existing-notes
`AutoSamplingTheory.TechnicalLemmas.FunctionalInequalities.SemigroupDecay.chewi_theorem_1_2_21_backward`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.FunctionalInequalities.SemigroupDecay.chewi_theorem_1_2_21_scalar_equivalence`	theorem	existing-notes
`AutoSamplingTheory.TechnicalLemmas.FunctionalInequalities.SemigroupDecay.chewi_theorem_1_2_22_forward_from`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.FunctionalInequalities.SemigroupDecay.chewi_theorem_1_2_22_forward`	theorem	existing-notes
`AutoSamplingTheory.TechnicalLemmas.FunctionalInequalities.SemigroupDecay.chewi_theorem_1_2_22_backward`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.FunctionalInequalities.SemigroupDecay.chewi_theorem_1_2_22_scalar_equivalence`	theorem	existing-notes
`AutoSamplingTheory.TechnicalLemmas.FunctionalInequalities.SemigroupDecay.chewi_theorem_1_2_26_forward_from`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.FunctionalInequalities.SemigroupDecay.chewi_theorem_1_2_26_forward`	theorem	existing-notes
`AutoSamplingTheory.TechnicalLemmas.FunctionalInequalities.SemigroupDecay.chewi_theorem_1_2_26_backward`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.FunctionalInequalities.SemigroupDecay.chewi_theorem_1_2_26_scalar_equivalence`	theorem	existing-notes
`AutoSamplingTheory.TechnicalLemmas.FunctionalInequalities.WeightedBochner.integrated_bochner_identity`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.FunctionalInequalities.WeightedGradient.compact_gradient_closable`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.FunctionalInequalities.WeightedGradientDistribution.lp_locallyIntegrable_volume`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.FunctionalInequalities.WeightedGradientDistribution.closed_gradient_distributional`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.FunctionalInequalities.WeightedGradientWeak.compact_directional_ibp`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.FunctionalInequalities.WeightedGradientWeak.closed_gradient_weighted_ibp`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.FunctionalInequalities.WeightedLocalL2.lp_locallyMemLp_volume`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.FunctionalInequalities.WeightedResolvent.weak_resolvent_distributional`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Gaussian.stdGaussianPi`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Gaussian.stdGaussianPi_isProbabilityMeasure`	instance	needed
`AutoSamplingTheory.TechnicalLemmas.Gaussian.stdGaussianPi_isFiniteMeasure`	instance	needed
`AutoSamplingTheory.TechnicalLemmas.Gaussian.map_eval_stdGaussianPi`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Gaussian.integral_id_gaussianReal_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Gaussian.integral_exp_mul_gaussianReal`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Gaussian.integral_exp_mul_gaussianReal_zero_one`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Gaussian.integrable_eval_stdGaussianPi`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Gaussian.integrable_const_mul_eval_stdGaussianPi`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Gaussian.integrable_linearForm_stdGaussianPi`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Gaussian.integrable_const_mul_sq_gaussianReal_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Gaussian.integrable_sq_eval_stdGaussianPi`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Gaussian.integral_eval_stdGaussianPi`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Gaussian.integral_const_mul_eval_stdGaussianPi`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Gaussian.integral_linearForm_stdGaussianPi`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Gaussian.integral_exp_linearForm_stdGaussianPi`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Gaussian.integral_exp_centered_linearForm_stdGaussianPi`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Gaussian.gaussianReal_withDensity_exp_shift`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Gaussian.pi_gaussianReal_withDensity_exp_shift`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Gaussian.pi_gaussianReal_shift_integral`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Gaussian.stdGaussianPi_withDensity_exp_shift`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Gaussian.stdGaussianPi_shift_integral`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Gaussian.pi_gaussianReal_shift_integral_map_toLp`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Gaussian.stdGaussianPi_shift_integral_map_toLp`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Gaussian.inner_toLp_toLp_eq_sum_mul`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Gaussian.norm_sq_toLp_eq_sum_sq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Gaussian.stdGaussian_shift_integral_map_toLp`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Gaussian.variance_id_gaussianReal_zero_one`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Gaussian.nnrealVarianceOneOfGaussianRealUnitLaw`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Gaussian.realVarianceOneOfNNRealVarianceOne`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Geometry.EuclideanSpaceCoordinates.euclideanSpace_inner_toLp_toLp_eq_sum_mul`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Geometry.EuclideanSpaceCoordinates.euclideanSpace_inner_eq_sum_mul`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Geometry.GeodesicConvexity.IsAlphaGeodesicallyConvex`	def	existing-notes
`AutoSamplingTheory.TechnicalLemmas.Geometry.GeodesicConvexity.firstOrder_geodesicConvexity`	theorem	existing-notes
`AutoSamplingTheory.TechnicalLemmas.Geometry.LogConcavity.LogConcaveOn`	def	authored
`AutoSamplingTheory.TechnicalLemmas.Geometry.LogConcavity.logConcaveOn_iff`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Geometry.LogConcavity.logConcaveOn_of_concave_log`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Geometry.LogConcavity.LogConcaveOn.pos`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Geometry.LogConcavity.LogConcaveOn.concaveOn_log`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Geometry.LogConcavity.LogConcaveOn.convexOn_neg_log`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Geometry.LogConcavity.LogConcaveOn.convex_sublevel_neg_log`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Geometry.LogConcavity.LogConcaveOn.convex_domain`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Geometry.LogConcavity.LogConcaveOn.convex_superlevel`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Geometry.LogConcavity.LogConcaveOn.quasiconcaveOn`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Geometry.LogConcavity.LogConcaveOn.subset`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Geometry.LogConcavity.LogConcaveOn.restrict_superlevel`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Geometry.LogConcavity.LogConcaveOn.comp_linearMap`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Geometry.LogConcavity.LogConcaveOn.comp_affineMap`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Geometry.LogConcavity.LogConcaveOn.mul`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Geometry.LogConcavity.LogConcaveOn.rpow`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Geometry.LogConcavity.LogConcaveOn.prod`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Geometry.LogConcavity.LogConcaveOn.const_mul`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Geometry.LogConcavity.logConcaveOn_const`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Geometry.LogConcavity.logConcaveOn_exp_neg_of_convexOn`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Geometry.LogConcavity.logConcaveOn_const_mul_exp_neg_of_convexOn`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Geometry.LogConcavity.convexOn_univ_abs`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Geometry.LogConcavity.convexOn_univ_const_mul_abs_add`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Geometry.LogConcavity.logConcaveOn_exp_neg_abs_linear`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Geometry.LogConcavity.logConcaveOn_const_mul_exp_neg_abs_linear`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Geometry.LogConcavity.logConcaveOn_explicit_abs_linear_normalized_density`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Geometry.LogConcavity.convexOn_univ_norm_sq`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Geometry.LogConcavity.convexOn_univ_const_mul_norm_sq_add`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Geometry.LogConcavity.logConcaveOn_exp_neg_quadratic_norm`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Geometry.LogConcavity.logConcaveOn_const_mul_exp_neg_quadratic_norm`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Geometry.LogConcavity.logConcaveOn_explicit_quadratic_normalized_density`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Geometry.LogConcavity.convexOn_univ_const_mul_norm_sub_sq_add`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Geometry.LogConcavity.logConcaveOn_exp_neg_shifted_quadratic_norm`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Geometry.LogConcavity.logConcaveOn_const_mul_exp_neg_shifted_quadratic_norm`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Geometry.LogConcavity.logConcaveOn_explicit_shifted_quadratic_normalized_density`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Geometry.LogConcavity.convexOn_univ_const_mul_norm_fst_sub_snd_sq_add`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Geometry.LogConcavity.logConcaveOn_exp_neg_pair_sub_quadratic_norm`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Geometry.LogConcavity.logConcaveOn_const_mul_exp_neg_pair_sub_quadratic_norm`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Geometry.LogConcavity.logConcaveOn_explicit_pair_sub_quadratic_kernel`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Geometry.LogConcavity.logConcaveOn_id_Ioi`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Geometry.MetricCurve.HasMetricDerivativeAt`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Geometry.MetricCurve.IsAbsolutelyContinuousMetricCurve`	def	existing-notes
`AutoSamplingTheory.TechnicalLemmas.Geometry.StrongConvexity.convexOn_of_strongConvexOn_nonneg`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Geometry.StrongConvexity.logConcaveOn_exp_neg_of_strongConvexOn`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Geometry.StrongConvexity.logConcaveOn_const_mul_exp_neg_of_strongConvexOn`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Geometry.StrongConvexity.centered_quadratic_lower_bound_of_strongConvexOn_minimizer`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.CanonicalDirichletFisher.State`	abbrev	authored
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.CanonicalDirichletFisher.DirichletPairDomain`	structure	authored
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.CanonicalDirichletFisher.HasCanonicalFisherGamma`	def	authored
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.CanonicalDirichletFisher.dirichletForm_density_logRatio_eq_information`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.CanonicalDirichletFisher.dirichletForm_density_logRatio_eq_integral_scoreSq`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.CanonicalDirichletFisher.hasDerivAt_eq_neg_information_of_eq_neg_dirichlet`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.CanonicalFisherTransportPairing.memLp_score_and_displacement`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.CanonicalFisherTransportPairing.integrable_pairing_of_isCoupling`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.CanonicalFisherTransportPairing.abs_integral_pairing_le_sqrt_information_mul_wasserstein`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.CanonicalKLDissipation.State`	abbrev	needed
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.CanonicalKLDissipation.FlowDerivativeDomain`	structure	needed
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.CanonicalKLDissipation.kl_hasDerivAt_integral_rhoDot_mul_logRatio`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.CanonicalKLDissipation.kl_hasDerivAt_eq_neg_dirichletForm`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.CanonicalKLDissipation.kl_hasDerivAt_eq_neg_information`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.CanonicalRelativeFisher.State`	abbrev	authored
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.CanonicalRelativeFisher.scoreSq`	def	authored
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.CanonicalRelativeFisher.SmoothFiniteScoreDomain`	structure	authored
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.CanonicalRelativeFisher.information`	def	authored
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.CanonicalRelativeFisher.information_eq_relativeFisher`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.CanonicalRelativeFisher.information_eq_integral_scoreSq`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.CanonicalRelativeFisher.information_eq_integral_density_mul_scoreSq`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.CanonicalRelativeFisher.scoreSq_integrable`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.CanonicalRelativeFisher.information_nonneg`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.CanonicalRelativeFisher.information_proof_irrel`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.FisherTransport.sq_div_le_fisher_of_sq_le_mul`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.FisherTransport.neg_half_fisher_le_neg_half_sq_div`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.FisherTransport.kl_derivative_upper_bound_of_fisher_transport`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.GeodesicFisherTransport.value_le_neg_directionalDerivative`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.GeodesicFisherTransport.sq_le_fisher_mul_sq_of_le_sqrt_mul`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.GeodesicFisherTransport.sq_le_fisher_mul_dist_sq_of_geodesic_first_order`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.KLDensity.klPointwiseDerivSimplify`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.KLDensity.klDerivativeRemoveMassTerm`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.RNLogRatio.density`	def	authored
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.RNLogRatio.logRatio`	def	authored
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.RNLogRatio.logRatio_apply`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.RNLogRatio.measurable_density`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.RNLogRatio.measurable_logRatio`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.RNLogRatio.density_nonneg`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.RNLogRatio.density_ae_pos_of_absolutelyContinuous`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.RNLogRatio.exp_logRatio_ae_eq_density_of_absolutelyContinuous`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.RNLogRatio.density_self_ae`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.RNLogRatio.logRatio_self_ae`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.RNLogRatio.toReal_klDiv_eq_integral_logRatio_of_probability`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.RelativeFisher.State`	abbrev	authored
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.RelativeFisher.densityEnergy`	def	authored
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.RelativeFisher.information`	def	authored
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.RelativeFisher.densityEnergy_nonneg`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.RelativeFisher.densityEnergy_eq_zero_of_gradient_eq_zero`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.RelativeFisher.information_eq_zero_of_gradient_ae_eq_zero`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.RelativeFisher.information_congr_gradient_ae`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.Renyi.renyiIntegrand`	def	needed
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.Renyi.renyiIntegrandENNReal`	def	needed
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.Renyi.renyiIntegrand_nonneg`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.Renyi.renyiIntegrand_pos`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.Renyi.measurable_renyiIntegrand`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.Renyi.measurable_renyiIntegrandENNReal`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.Renyi.lintegral_renyiIntegrandENNReal_ne_top_of_ae_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.Renyi.hasDerivAt_renyiIntegrand`	theorem	existing-notes
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.SimultaneousFDivergence.hasDerivAt_weighted_f_divergence_integrand`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.SimultaneousFDivergence.hasDerivAt_weighted_f_divergence_integrand_of_ratio`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.SimultaneousFDivergenceGradient.common_diffusion_pairing_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.SimultaneousFDivergenceGradient.common_diffusion_pairing_eq_of_gradients`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.SimultaneousFDivergenceIntegral.derivativeIntegrand`	def	needed
`AutoSamplingTheory.TechnicalLemmas.InformationTheory.SimultaneousFDivergenceIntegral.hasDerivAt_integral_weighted_f_divergence_of_dominated`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CanonicalGlobalCompetitor.canonicalGlobalCompetitor`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CanonicalGlobalCompetitor.commonSliceRemoved_toMeasure_le_ambient`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CanonicalGlobalCompetitor.ambient_eq_remainder_add_commonSliceRemoved`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CanonicalGlobalCompetitor.canonicalGlobalCompetitor_preserves_marginals`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.ChewiTheorem1_3_23.wassersteinDistance_displacementInterpolation_eq_abs`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.ChewiTheorem1_3_23.chewi_theorem_1_3_23_constant_speed`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CommonMass.mass_smul_nnreal`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CommonMass.commonMassProduct`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CommonMass.commonMassProduct_mass`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CommonMass.commonMassProduct_map_fst`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CommonMass.commonMassProduct_map_snd`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CommonMass.exists_joint_of_eq_positive_mass`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CommonMassNormalizedProduct.commonMassProduct_toMeasure_eq_mass_smul_normalized_prod`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CommonMassProductMap.mass_map_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CommonMassProductMap.commonMassProduct_map_prodMap`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CommonMassSlice.commonMassSlice`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CommonMassSlice.commonMassSlice_mass`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CommonMassSlice.commonMassSlice_toMeasure_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CommonMassSliceFamily.commonMassSliceFamily`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CommonMassSliceFamily.commonMassSliceFamily_mass`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CommonMassSliceFamily.commonMassSliceFamily_toMeasure_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CommonMassSliceFamily.commonMassSliceFamily_mass_pos`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CommonMassSliceFamily.commonMassSliceFamily_mass_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CommonNoiseContraction.addNoise`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CommonNoiseContraction.measurable_addPair`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CommonNoiseContraction.synchronousNoiseMap`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CommonNoiseContraction.measurable_synchronousNoiseMap`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CommonNoiseContraction.synchronousNoiseCoupling`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CommonNoiseContraction.pairLeft`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CommonNoiseContraction.pairRight`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CommonNoiseContraction.measurable_pairLeft`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CommonNoiseContraction.measurable_pairRight`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CommonNoiseContraction.map_pairLeft_prod_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CommonNoiseContraction.map_pairRight_prod_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CommonNoiseContraction.isCoupling_synchronousNoiseCoupling`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CommonNoiseContraction.quadraticCost_synchronousNoiseMap`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CommonNoiseContraction.lintegral_quadraticCost_synchronousNoiseCoupling`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CommonNoiseContraction.wassersteinDistance_addNoise_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CommonRemovableMass.commonRemovableMass`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CommonRemovableMass.commonRemovableMass_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CommonRemovableMass.exists_mass_eq_commonRemovableMass`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CommonRemovableMass.commonRemovableMass_pos`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CommonSlicePermutationReplacement.commonSliceRemoved`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CommonSlicePermutationReplacement.commonSlicePermutationReplacement`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CommonSlicePermutationReplacement.commonSlicePermutationReplacement_map_fst`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CommonSlicePermutationReplacement.commonSlicePermutationReplacement_map_snd`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CommonSlicePermutationReplacement.commonSlicePermutationReplacement_preserves_removed_marginals`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.ContinuousCostWeakLowerSemicontinuity.truncatedContinuousNNReal`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.ContinuousCostWeakLowerSemicontinuity.truncatedContinuousNNReal_apply`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.ContinuousCostWeakLowerSemicontinuity.iSup_coe_min_nat_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.ContinuousCostWeakLowerSemicontinuity.lintegral_eq_iSup_truncated`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.ContinuousCostWeakLowerSemicontinuity.lowerSemicontinuous_lintegral_continuous_nnreal`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.ContinuousCostWeakLowerSemicontinuity.quadraticCostNNReal`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.ContinuousCostWeakLowerSemicontinuity.continuous_quadraticCostNNReal`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.ContinuousCostWeakLowerSemicontinuity.coe_quadraticCostNNReal`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.ContinuousCostWeakLowerSemicontinuity.lowerSemicontinuous_quadraticCostFunctional`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.ConvexInteriorAE.ae_mem_interior_of_convex_of_absolutelyContinuous`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CouplingAEMarginals.ae_fst_of_isCoupling`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CouplingAEMarginals.ae_snd_of_isCoupling`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CouplingConvexDomainAE.ae_fst_mem_interior_and_differentiableAt`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CouplingGraph.map_eq_of_isCoupling_of_ae_snd_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CouplingGraphIdentity.eq_map_graph_of_isCoupling_of_ae_snd_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CouplingQuadraticIntegrability.measurePreserving_fst_of_isCoupling`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CouplingQuadraticIntegrability.measurePreserving_snd_of_isCoupling`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CouplingQuadraticIntegrability.integrable_norm_sq_fst_of_isCoupling`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CouplingQuadraticIntegrability.integrable_norm_sq_snd_of_isCoupling`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.CouplingQuadraticIntegrability.integrable_norm_sub_sq_of_isCoupling`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementChangeOfVariables.integral_image_affineDisplacementMap_eq_integral_det_smul`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementConvexGradientPositive.isPositive_fderiv_of_convex_gradient_field`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementConvexGradientPositive.toMatrix_fderiv_posSemidef_of_convex_gradient_field`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementConvexGradientPositive.det_affineDisplacementDerivative_pos_of_convex_gradient_field`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementConvexPotentialSupport.isSupportingField_of_convexOn_univ_hasFDerivAt_inner`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementConvexPotentialSupport.isMonotoneMap_of_convexOn_univ_hasFDerivAt_inner`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementConvexPotentialSupport.injective_affineDisplacementMap_of_convexOn_univ_hasFDerivAt_inner`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementDerivativeDetPos.toMatrix_affineDisplacementDerivative_posDef`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementDerivativeDetPos.toMatrix_affineDisplacementDerivative_posDef_of_posSemidef`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementDerivativeDetPos.det_affineDisplacementDerivative_pos`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementDerivativeDetPos.det_affineDisplacementDerivative_pos_of_posSemidef`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementDerivativeDetPos.abs_det_affineDisplacementDerivative_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementDerivativeDetPos.abs_det_affineDisplacementDerivative_eq_of_posSemidef`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementDerivativeLogDet.neg_log_det_affineDisplacementDerivative_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementDerivativeLogDet.hasFDerivAt_affineDisplacementMap_and_neg_log_det`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementDerivativeMatrix.toMatrix_affineDisplacementDerivative`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementDerivativeMatrix.det_affineDisplacementDerivative_eq_matrix_det`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementEntropyPushforward.integral_logDensity_eq_endpoint_sub_logJacobian`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementGradientDerivativeSymmetry.isSymmetric_fderiv_of_gradient_field`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementInterpolation.IsQuadraticOptimalCoupling`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementInterpolation.displacementInterpolation`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementInterpolation.displacementInterpolation_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementInterpolation.displacementInterpolation_one`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementInterpolation.IsWassersteinGeodesic`	def	existing-notes
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementInterpolation.isWassersteinGeodesic_displacementInterpolation`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementInterpolation.endpoints_of_isWassersteinGeodesic`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementInterpolationConstantSpeed.isProbabilityMeasure_displacementInterpolation`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementInterpolationConstantSpeed.wassersteinDistance_interpolation_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementInterpolationConstantSpeed.interpolation_coefficients_sum_one`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementInterpolationConstantSpeed.wassersteinDistance_interpolation_eq_of_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementInterpolationCost.pointMap_sub_pointMap`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementInterpolationCost.measurable_quadraticCost`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementInterpolationCost.quadraticCost_pairPointMap_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementInterpolationCost.lintegral_quadraticCost_interpolationCoupling_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementInterpolationCost.wassersteinDistance_sq_interpolation_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementInterpolationCoupling.pointMap`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementInterpolationCoupling.measurable_pointMap`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementInterpolationCoupling.interpolationCoupling`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementInterpolationCoupling.measurable_pairPointMap`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementInterpolationCoupling.isCoupling_interpolationCoupling`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementInterpolationConstantSpeed.wassersteinDistance_interpolation_eq_of_le_of_integrable_norm_sq`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementJacobianAffineSpectrum.affineIdentityMatrix_mulVec_eigenvectorBasis`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementJacobianEntropy.affineIdentityEigenvalue_pos`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementJacobianEntropy.log_affineIdentity_ge`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementJacobianEntropy.spectrumLogDet`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementJacobianEntropy.spectrumLogDet_eigenvalues_eq_log_det`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementJacobianEntropy.neg_spectrumLogDet_eigenvalues_eq_neg_log_det`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementJacobianEntropy.affineIdentityMatrix_posDef`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementJacobianEntropy.affineIdentityMatrix_posDef_of_posSemidef`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementJacobianEntropy.det_conjStarAlgAut_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementJacobianEntropy.affineIdentitySpectrum`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementJacobianEntropy.affineIdentityMatrix_diagonal`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementJacobianEntropy.det_affineIdentity_diagonal`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementJacobianEntropy.spectrumLogDet_affineIdentity_ge`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementJacobianEntropy.neg_spectrumLogDet_affineIdentity_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementJacobianEntropy.integral_neg_spectrumLogDet_affineIdentity_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementJacobianMatrixLogDet.det_affineIdentityMatrix_eq_prod_eigenvalues`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementJacobianMatrixLogDet.spectrumLogDet_affineIdentity_eigenvalues_eq_log_det`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementJacobianMatrixLogDet.neg_log_det_affineIdentity_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementMapDerivative.affineDisplacementMap`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementMapDerivative.affineDisplacementDerivative`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementMapDerivative.hasFDerivAt_affineDisplacementMap`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementMapDerivative.hasFDerivWithinAt_affineDisplacementMap`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementMapInjectivity.IsMonotoneMap`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementMapInjectivity.inner_affineDisplacementMap_sub`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementMapInjectivity.affineDisplacementMap_inner_lower_bound`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementMapInjectivity.injective_affineDisplacementMap_of_monotone`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementMonotoneDerivative.inner_fderiv_nonneg_of_monotone`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementMonotoneDerivative.isPositive_fderiv_of_monotone_of_isSymmetric`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementPositiveOperator.toMatrix_posSemidef_of_isPositive`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementPositiveOperator.det_affineDisplacementDerivative_pos_of_isPositive`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementPositiveOperator.abs_det_affineDisplacementDerivative_eq_of_isPositive`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementPositiveOperator.integral_image_affineDisplacementMap_eq_integral_det_smul_of_isPositive`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementPotentialEnergy.potential_pointMap_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementPotentialEnergy.integral_potential_pointMap_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementPotentialEnergy.integral_displacementInterpolation_eq_integral_pointMap`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementPotentialEnergy.integral_potential_displacementInterpolation_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementRealQuadraticCost.ofReal_integral_norm_sq_eq_lintegral_quadraticCost`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementRealQuadraticCost.ofReal_integral_norm_sq_eq_wassersteinDistance_sq_of_optimal`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementRealQuadraticCost.integral_norm_sq_eq_wassersteinDistance_sq_toReal_of_optimal`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementSupportingPotential.IsSupportingField`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementSupportingPotential.isMonotoneMap_of_isSupportingField`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.DisplacementSupportingPotential.injective_affineDisplacementMap_of_supportingField`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.FiniteRemainder.finiteRemainder`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.FiniteRemainder.finiteRemainder_toMeasure`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.FiniteRemainder.finiteRemainder_add_removed_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.FiniteRemainder.ambient_eq_finiteRemainder_add_removed`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.FiniteRemainder.exists_finiteRemainder_of_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.FiniteSumDomination.toMeasure_finsetSum_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.FiniteSumDomination.toMeasure_fintypeSum_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.FiniteSumDomination.toMeasure_fintypeSum_le_ambient`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.GaussianLikelihood.translated_gaussian_likelihood`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Measure.GaussianSmoothing.scaledStdGaussian`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.GaussianSmoothing.scaledStdGaussian_isProbabilityMeasure`	instance	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.GaussianSmoothing.gaussianSmoothing`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.GaussianSmoothing.wassersteinDistance_gaussianSmoothing_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.GaussianSmoothing.heatSmoothing`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.GaussianSmoothing.heatSmoothing_eq_gaussianSmoothing_sqrt`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.GaussianSmoothing.wassersteinDistance_heatSmoothing_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.Gibbs.gibbsDensityENNReal`	def	existing-notes
`AutoSamplingTheory.TechnicalLemmas.Measure.Gibbs.gibbsDensityENNReal_pos`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.Gibbs.gibbsDensityENNReal_lt_top`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.Gibbs.measurable_gibbsDensityENNReal`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.Gibbs.aemeasurable_gibbsDensityENNReal`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.Gibbs.lintegral_gibbsDensityENNReal_ne_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.Gibbs.lintegral_gibbsDensityENNReal_ne_top_of_ae_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.Gibbs.gibbsDensityENNReal_le_of_potential_ge`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.Gibbs.gibbsDensityENNReal_ae_le_of_ae_potential_ge`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.Gibbs.lintegral_gibbsDensityENNReal_ne_top_of_ae_potential_ge`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.Gibbs.lintegral_gibbsDensityENNReal_ne_top_of_ae_ge_const`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.Gibbs.isProbabilityMeasure_withDensity_normalized_gibbs`	theorem	existing-notes
`AutoSamplingTheory.TechnicalLemmas.Measure.Gibbs.isProbabilityMeasure_withDensity_normalized_gibbs_of_ae_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.Gibbs.isProbabilityMeasure_withDensity_normalized_gibbs_of_ae_potential_ge`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.Gibbs.isProbabilityMeasure_withDensity_normalized_gibbs_of_ae_ge_const`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.GibbsIntegral.integral_withDensity_inv_mul_gibbsDensityENNReal_eq_integral_inv_mul_exp_smul`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.GibbsIntegral.integral_withDensity_lintegral_inv_mul_gibbsDensityENNReal_eq_integral_lintegral_inv_mul_exp_smul`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.GibbsIntegral.integral_withDensity_lintegral_inv_mul_gibbsDensityENNReal_eq_integral_lintegral_inv_mul_exp_smul_of_neZero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.GibbsLogConcavity.logConcaveOn_normalized_gibbsDensityENNReal_toReal_of_convexOn`	theorem	existing-notes
`AutoSamplingTheory.TechnicalLemmas.Measure.GibbsLogConcavity.logConcaveOn_normalized_gibbsDensityENNReal_toReal_of_strongConvexOn`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.GibbsLogConcavity.logConcaveOn_lintegral_normalized_gibbsDensityENNReal_toReal_of_convexOn`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.GibbsLogConcavity.logConcaveOn_lintegral_normalized_gibbsDensityENNReal_toReal_of_strongConvexOn`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.GibbsLogConcavity.logConcaveOn_lintegral_normalized_gibbsDensityENNReal_toReal_of_strongConvexOn_minimizer`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.GibbsLogConcavity.logConcaveOn_normalized_laplace_gibbsDensityENNReal_toReal`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.IsotropicGaussianDensity.map_sqrt_smul_stdGaussian_eq_withDensity`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Measure.KantorovichDual.DualFeasible`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.KantorovichDual.dualTransportValue`	def	existing-notes
`AutoSamplingTheory.TechnicalLemmas.Measure.KantorovichDual.dualTransportValue_eq_sSup`	theorem	existing-notes
`AutoSamplingTheory.TechnicalLemmas.Measure.L2Expectation.one`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.L2Expectation.expectation`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.L2Expectation.expectation_apply_eq_inner`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.L2Expectation.expectation_apply_eq_integral`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.L2Expectation.inner_one_eq_integral`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.OptimalContinuousCost.exists_optimal_coupling`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Measure.PermutedMarginalReplacement.mass_map_of_measurable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.PermutedMarginalReplacement.sourceMarginal`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.PermutedMarginalReplacement.targetMarginal`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.PermutedMarginalReplacement.sourceMarginal_mass`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.PermutedMarginalReplacement.targetMarginal_mass`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.PermutedMarginalReplacement.finiteMeasure_map_finset_sum`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.PermutedMarginalReplacement.finiteMeasure_map_fintype_sum`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.PermutedMarginalReplacement.permutedMarginalJoint`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.PermutedMarginalReplacement.permutedMarginalJoint_map_fst`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.PermutedMarginalReplacement.permutedMarginalJoint_map_snd`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.PermutedMarginalReplacement.permutedMarginalJoint_mass`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.PermutedMarginalReplacement.permutedMarginalReplacement`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.PermutedMarginalReplacement.permutedMarginalReplacement_map_fst`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.PermutedMarginalReplacement.permutedMarginalReplacement_map_snd`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.PermutedReplacementQuadraticCost.realQuadraticCost`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.PermutedReplacementQuadraticCost.crossQuadraticCost`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.PermutedReplacementQuadraticCost.realQuadraticCost_stronglyMeasurable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.PermutedReplacementQuadraticCost.measurePreserving_commonMassProduct_source_target`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.PermutedReplacementQuadraticCost.integral_marginal_commonMassProduct_eq_mass_mul_normalized_cross`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.PermutedReplacementQuadraticCost.integrable_realQuadraticCost_of_normalize`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.PermutedReplacementQuadraticCost.integrable_marginal_commonMassProduct_of_normalized_cross`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.PermutedReplacementQuadraticCost.integral_sum_eq_mass_mul_diagonalProduct`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.PermutedReplacementQuadraticCost.integral_permutedReplacement_symm_eq_mass_mul_permutedProduct`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.PermutedReplacementQuadraticCost.integral_permutedReplacement_symm_lt_sum_of_productGap`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.PositiveComponentAE.absolutelyContinuous_smul_add_left`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.PositiveComponentAE.absolutelyContinuous_add_smul_right`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.PositiveComponentAE.ae_of_ae_smul_add_left`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.PositiveComponentAE.ae_of_ae_add_smul_right`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.PowerPerspective.lintegral_perspective_le`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Measure.ProbabilityCouplingCompactness.IsProbabilityCoupling`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.ProbabilityCouplingCompactness.probabilityCouplingSet`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.ProbabilityCouplingCompactness.isProbabilityCoupling_iff_isCoupling_toMeasure`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.ProbabilityCouplingCompactness.isClosed_probabilityCouplingSet`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.ProbabilityCouplingCompactness.isTightMeasureSet_couplingSet`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.ProbabilityCouplingCompactness.isTightMeasureSet_probabilityCouplingSet`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.ProbabilityCouplingCompactness.isCompact_probabilityCouplingSet`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.Product.measurable_update_prod_pi`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.Product.map_update_prod_pi`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.Product.measurePreserving_update_prod_pi`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.Product.integral_update_prod_pi_eq_integral`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.Product.integrable_update_slice_ae`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.QuadraticOptimalBrenierMap.ae_snd_eq_gradient_of_quadraticOptimal_of_base`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.QuadraticOptimalBrenierMap.map_gradient_eq_of_quadraticOptimal_of_base`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.QuadraticOptimalBrenierMap.exists_base_map_gradient_eq_of_quadraticOptimal`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.QuadraticOptimalBrenierMap.exists_base_map_gradient_eq_of_quadraticOptimal_p2ac`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.QuadraticOptimalMap.graphCoupling`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.QuadraticOptimalMap.isCoupling_graphCoupling`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.QuadraticOptimalMap.ae_eq_of_graphCoupling_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.QuadraticOptimalMap.IsQuadraticOptimalMap`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.QuadraticOptimalMap.isQuadraticOptimalMap_iff`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.QuadraticOptimalMap.isQuadraticOptimalMap_of_eq_graphCoupling`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.QuadraticOptimalMap.isQuadraticOptimalCoupling_graphCoupling`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.QuadraticOptimalMapUniqueness.HasUniqueQuadraticOptimalCoupling`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.QuadraticOptimalMapUniqueness.ae_eq_of_quadraticOptimalMap_of_uniqueCoupling`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.QuadraticOptimalMapUniqueness.ae_eq_of_quadraticOptimalMap_of_forall_optimal_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.QuadraticOptimalMidpoint.midpointMeasure`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.QuadraticOptimalMidpoint.inv_two_add_inv_two`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.QuadraticOptimalMidpoint.isCoupling_midpoint`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.QuadraticOptimalMidpoint.lintegral_midpoint`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.QuadraticOptimalMidpoint.isQuadraticOptimalCoupling_midpoint`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.QuadraticOptimalRealMinimality.integral_norm_sq_le_of_quadraticOptimal`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.QuadraticOptimalSupportCyclic.pairingDistinctCycleMonotone_support_of_quadraticOptimal_finite`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.QuadraticOptimalSupportCyclic.pairingDistinctCycleMonotone_support_of_quadraticOptimal`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.QuadraticOptimalSupportCyclic.pairingDistinctCycleMonotone_support_of_quadraticOptimal_p2ac`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.QuadraticOptimalUniqueness.eq_of_quadraticOptimal`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.QuadraticOptimalUniqueness.eq_of_quadraticOptimal_p2ac_source`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.QuantitativeSupportLocalBlocks.exists_quantitative_positive_local_blocks_of_cycleValue_pos`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.RadonNikodym.lintegral_fin_nat_prod_eq_prod`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.RadonNikodym.lintegral_fintype_prod_eq_prod`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.RadonNikodym.pi_withDensity_prod`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.RadonNikodym.withDensity_univ_eq_lintegral`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.RadonNikodym.isProbabilityMeasure_withDensity_of_lintegral_eq_one`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.RadonNikodym.isProbabilityMeasure_withDensity_ofReal_exp_of_integral_eq_one`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.RadonNikodym.isFiniteMeasure_withDensity_of_lintegral_ne_top`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.RadonNikodym.lintegral_inv_lintegral_mul_eq_one`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.RadonNikodym.isProbabilityMeasure_withDensity_normalized_lintegral`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.RadonNikodym.withDensity_absolutelyContinuous_base`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.RadonNikodym.measurableEquiv_map_withDensity`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.RadonNikodym.withDensity_rnDeriv_eq_of_absolutelyContinuous`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.ReplacementCompetitor.replacementCompetitor`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.ReplacementCompetitor.replacementCompetitor_map_fst`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.ReplacementCompetitor.replacementCompetitor_map_snd`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.ReplacementCompetitor.replacementCompetitor_preserves_marginals`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.ReplacementCompetitorQuadraticCost.integrable_ambient_of_remainder_removed`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.ReplacementCompetitorQuadraticCost.integrable_replacementCompetitor`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.ReplacementCompetitorQuadraticCost.integral_replacementCompetitor_lt_ambient`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.StrictCycleCheaperLocalReplacement.exists_localBlocks_cyclicReplacement_lt_of_cycleValue_pos`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.SupportLocalBlocks.restrict_mass_pos_of_mem_support_of_isOpen`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.SupportLocalBlocks.sum_restrict_le_of_pairwiseDisjoint_open`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.SupportLocalBlocks.rectangle_restrict_mass_pos`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.SupportLocalBlocks.exists_positive_local_blocks_of_cycleValue_pos`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.Transport.IsCoupling`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.Transport.couplingSet`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.Transport.transportCost`	def	existing-notes
`AutoSamplingTheory.TechnicalLemmas.Measure.Transport.transportCost_eq_sInf`	theorem	existing-notes
`AutoSamplingTheory.TechnicalLemmas.Measure.Transport.transportCost_le_lintegral_of_isCoupling`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.Transport.exists_isCoupling_lintegral_lt_of_transportCost_lt`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.Transport.isProbabilityMeasure_of_isCoupling_left`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.Transport.isCoupling_prod`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.Transport.couplingSet_nonempty`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.TransportGluing.gluingMeasure`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.TransportGluing.fst_gluingMeasure`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.TransportGluing.map_snd_fst_gluingMeasure`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.TransportGluing.exists_gluing_of_isCoupling`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinFiniteSecondMoment.integrable_norm_sq_fst_prod`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinFiniteSecondMoment.integrable_norm_sq_snd_prod`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinFiniteSecondMoment.integrable_norm_sub_sq_prod`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinFiniteSecondMoment.lintegral_quadraticCost_prod_lt_top`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinFiniteSecondMoment.wassersteinDistance_lt_top_of_integrable_norm_sq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinFiniteSecondMoment.wassersteinDistance_lt_top_of_p2ac`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinSpace.quadraticCost`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinSpace.wassersteinDistance`	def	existing-notes
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinSpace.wassersteinDistance_sq`	theorem	existing-notes
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinSpace.wassersteinDistance_sq_le_lintegral_of_isCoupling`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinSpace.wassersteinDistance_le_sqrt_lintegral_of_isCoupling`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinSpace.exists_isCoupling_sqrt_lintegral_lt_of_wassersteinDistance_lt`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinSpace.IsAbsolutelyContinuousFiniteSecondMoment`	def	existing-notes
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinSpace.isAbsolutelyContinuousFiniteSecondMoment_iff`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinSymmetry.swapPair`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinSymmetry.measurable_swapPair`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinSymmetry.isCoupling_map_swapPair`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinSymmetry.lintegral_quadraticCost_map_swapPair`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinSymmetry.wassersteinDistance_le_reverse`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinSymmetry.wassersteinDistance_comm`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinTriangle.wassersteinDistance_lt_add_of_lt`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinTriangleCore.edgeLength12`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinTriangleCore.edgeLength23`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinTriangleCore.edgeLength13`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinTriangleCore.edgeLength12_measurable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinTriangleCore.edgeLength23_measurable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinTriangleCore.edgeLength13_measurable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinTriangleCore.edgeLength13_le_add`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinTriangleCore.l2Seminorm`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinTriangleCore.l2Seminorm_mono`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinTriangleCore.l2Seminorm_add_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinTriangleCore.l2_edge_triangle`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinTriangleExact.wassersteinDistance_le_add_of_lt_left`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinTriangleExact.wassersteinDistance_triangle`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinTriangleMarginals.pair12`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinTriangleMarginals.pair23`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinTriangleMarginals.pair13`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinTriangleMarginals.measurable_pair12`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinTriangleMarginals.measurable_pair23`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinTriangleMarginals.measurable_pair13`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinTriangleMarginals.measurable_quadraticCost`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinTriangleMarginals.edgeLength12_rpow_two_eq_quadraticCost_pair12`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinTriangleMarginals.edgeLength23_rpow_two_eq_quadraticCost_pair23`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinTriangleMarginals.edgeLength13_rpow_two_eq_quadraticCost_pair13`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinTriangleMarginals.l2Seminorm_edge12_eq_pairCost`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinTriangleMarginals.l2Seminorm_edge23_eq_pairCost`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinTriangleMarginals.l2Seminorm_edge13_eq_pairCost`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.WassersteinTriangleMarginals.isCoupling_map_pair13_of_pair12_pair23`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Measure.integrable_of_measure_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Probability.ConditionalKernel.condDistribIntegralNamedFieldIntegral`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Probability.ConditionalResampling.fst_compProd_condDistrib_snd_eq_self`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Probability.CoordinateHeatBath.heatBath`	def	authored
`AutoSamplingTheory.TechnicalLemmas.Probability.CoordinateHeatBath.heatBath_isMarkovKernel`	instance	authored
`AutoSamplingTheory.TechnicalLemmas.Probability.CoordinateHeatBath.heatBath_invariant`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Probability.CoordinateHeatBath.heatBath_ae_apply_eq`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Probability.CoordinateHeatBath.heatBath_eq_cond`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Probability.FiniteProductPairMarginal.map_pair_eval_eq_prod`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Probability.FiniteProductPairMarginal.integral_comp_pair_eval`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Probability.FiniteProductSupport.pi_box_apply_eq_one`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Probability.FiniteProductSupport.ae_mem_pi_box`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Probability.GaussianConditionalKernel.exists_tilted_isCondKernel`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Probability.HeatBath.heatBathSnd`	def	authored
`AutoSamplingTheory.TechnicalLemmas.Probability.HeatBath.heatBathSnd_isMarkovKernel`	instance	authored
`AutoSamplingTheory.TechnicalLemmas.Probability.HeatBath.heatBathSnd_apply`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Probability.HeatBath.heatBathSnd_invariant`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Probability.KernelInvariance.invariant_pow`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Probability.KernelInvariance.bind_pow_eq`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Probability.KernelMixture.finiteMixture`	def	authored
`AutoSamplingTheory.TechnicalLemmas.Probability.KernelMixture.finiteMixture_apply`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Probability.KernelMixture.finiteMixture_isMarkovKernel`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Probability.KernelMixture.finiteMixture_invariant`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Probability.KernelReversibility.isReversible_of_singleton_balance`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Probability.KernelTotalVariation.abs_real_comp_sub_le`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Probability.KernelTransport.invariant_map_comap`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Probability.NormalizedFiniteMeasure.compl_null_of_toMeasure_le_restrict`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Probability.NormalizedFiniteMeasure.normalize_apply_eq_one_of_toMeasure_le_restrict`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Probability.NormalizedFiniteMeasure.ae_mem_of_toMeasure_le_restrict`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Probability.NormalizedFiniteMeasureIntegral.integral_eq_mass_mul_integral_normalize`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Probability.NormalizedFiniteMeasureIntegral.integral_lt_integral_iff_normalize_of_mass_pos`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Probability.RandomScanHeatBath.randomScan`	def	needed
`AutoSamplingTheory.TechnicalLemmas.Probability.RandomScanHeatBath.randomScan_isMarkovKernel`	instance	needed
`AutoSamplingTheory.TechnicalLemmas.Probability.RandomScanHeatBath.randomScan_apply_singleton`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Probability.RandomScanHeatBath.singleton_balance`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Probability.RandomScanHeatBath.randomScan_isReversible`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.Probability.UniformExpectationGap.integral_lt_integral_of_ae_add_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Probability.UniformExpectationGap.integral_lt_integral_of_ae_gap`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.LemmaMemoryStatus`	inductive	needed
`AutoSamplingTheory.TechnicalLemmas.LemmaMemoryEntry`	structure	needed
`AutoSamplingTheory.TechnicalLemmas.sltSourceAnchor`	def	needed
`AutoSamplingTheory.TechnicalLemmas.analysisMemory`	def	needed
`AutoSamplingTheory.TechnicalLemmas.gaussianMemory`	def	needed
`AutoSamplingTheory.TechnicalLemmas.taylorMemory`	def	needed
`AutoSamplingTheory.TechnicalLemmas.calculusMemory`	def	needed
`AutoSamplingTheory.TechnicalLemmas.measureMemory`	def	needed
`AutoSamplingTheory.TechnicalLemmas.functionalInequalityMemory`	def	needed
`AutoSamplingTheory.TechnicalLemmas.stochasticProcessMemory`	def	needed
`AutoSamplingTheory.TechnicalLemmas.klDensityMemory`	def	needed
`AutoSamplingTheory.TechnicalLemmas.renyiDensityMemory`	def	needed
`AutoSamplingTheory.TechnicalLemmas.variationalMemory`	def	needed
`AutoSamplingTheory.TechnicalLemmas.geometryMemory`	def	needed
`AutoSamplingTheory.TechnicalLemmas.saldExtractedMemory`	def	needed
`AutoSamplingTheory.TechnicalLemmas.portQueueMemory`	def	needed
`AutoSamplingTheory.TechnicalLemmas.technicalLemmaMemory`	def	needed
`AutoSamplingTheory.TechnicalLemmas.formalizedTechnicalLemmaCount`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.AccumulatedEnergy.accumulatedEnergy`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.AccumulatedEnergy.accumulatedEnergy_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.AccumulatedEnergy.accumulatedEnergy_mono`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.AccumulatedEnergy.accumulatedEnergy_eq_terminal_of_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.AccumulatedEnergy.accumulatedEnergy_le_terminal`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.AccumulatedEnergy.accumulatedEnergy_nonneg`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.BrownianMotion.projectedIncrementVariance`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.BrownianMotion.IsStandardBrownianMotion`	def	existing-notes
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.BrownianMotion.IsBrownianMotionWithFiltration`	structure	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.BrownianMotion.IsBrownianMotionWithFiltration.isProbabilityMeasure`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.BrownianMotion.IsBrownianMotionWithFiltration.increment_stronglyMeasurable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.BrownianMotion.IsBrownianMotionWithFiltration.indepFun_increment_of_stronglyMeasurable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.BrownianMotion.IsBrownianMotionWithFiltration.integral_increment_eq_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.BrownianMotion.IsBrownianMotionWithFiltration.condExp_increment_eq_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.BrownianMotion.IsBrownianMotionWithFiltration.integral_increment_sq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.BrownianMotion.IsBrownianMotionWithFiltration.condExp_increment_sq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.BrownianQuadraticVariation.increment_memLp_two`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.BrownianQuadraticVariation.increment_sq_integrable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.BrownianQuadraticVariation.centered_increment_sq_integrable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.BrownianQuadraticVariation.integral_centered_increment_sq_eq_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.BrownianQuadraticVariation.centeredSquaredIncrement`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.BrownianQuadraticVariation.quadraticVariationError`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.BrownianQuadraticVariation.quadraticVariationSum`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.BrownianQuadraticVariation.grid_cell_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.BrownianQuadraticVariation.centeredSquaredIncrement_integrable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.BrownianQuadraticVariation.integral_quadraticVariationError_eq_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.BrownianQuadraticVariation.integral_quadraticVariationSum_eq_sum_cellLengths`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CanonicalEnergyLocalizer.energyLevelSet`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CanonicalEnergyLocalizer.isClosed_energyLevelSet`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CanonicalEnergyLocalizer.canonicalEnergyLocalizer`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CanonicalEnergyLocalizer.canonicalEnergyLocalizer_mem`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CanonicalEnergyLocalizer.canonicalEnergyLocalizer_le_of_mem`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CanonicalEnergyLocalizer.canonicalEnergyLocalizer_le_terminal`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CanonicalEnergyLocalizer.exists_level_time_of_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CanonicalEnergyLocalizer.canonicalEnergyLocalizer_le_iff`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CanonicalEnergyLocalizer.measurableSet_canonicalEnergyLocalizer_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CanonicalEnergyLocalizer.completedEnergy_at_canonical_eq_of_nonempty`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CanonicalEnergyLocalizer.completedEnergy_at_canonical_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CanonicalEnergyLocalizer.canonicalEnergyLocalizer_mono_level`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CanonicalEnergyLocalizer.canonicalLocalizingTime`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CanonicalEnergyLocalizer.canonicalLocalizingTime_mono`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CanonicalEnergyLocalizer.canonicalLocalizingTime_eventually_eq_terminal`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CanonicalEnergyLocalizer.tendsto_canonicalLocalizingTime`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CanonicalEnergyLocalizer.completedEnergy_at_canonicalLocalizingTime_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CanonicalEnergyStoppingTime.canonicalEnergyLocalizer_isChewiStoppingTime`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CanonicalEnergyStoppingTime.canonicalLocalizingTime_isChewiStoppingTime`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CanonicalEnergyStoppingTime.canonicalLocalizingTime_isStoppingTime`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CanonicalLocalizationTheorem.canonicalStoppedProgressiveL2`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CanonicalLocalizationTheorem.canonicalStoppedProgressiveL2_process`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CanonicalLocalizationTheorem.chewi_proposition_1_1_13`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CanonicalRawLocalization.canonicalRawLocalizingTime`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CanonicalRawLocalization.canonicalRawLocalizingTime_of_bad`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CanonicalRawLocalization.canonicalRawLocalizingTime_of_good`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CanonicalRawLocalization.canonicalRawLocalizingTime_mono`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CanonicalRawLocalization.measurableSet_canonicalRawLocalizingTime_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CanonicalRawLocalization.canonicalRawLocalizingTime_isChewiStoppingTime`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CanonicalRawLocalization.canonicalRawLocalizingTime_isStoppingTime`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CanonicalRawLocalization.canonicalRawLocalizingTime_eventually_eq_terminal_of_good`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CanonicalRawLocalization.canonicalRawLocalizingTime_tendsto_terminal_ae`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CanonicalRawLocalization.stoppedIntegrand_ae_eq_energyStoppedIntegrand`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CanonicalRawLocalizationL2.rawStoppedTimeLintegral_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CanonicalRawLocalizationL2.rawStoppedProductEnergy_lt_top`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CanonicalRawLocalizationL2.canonicalRaw_isLocalizingSequence`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CanonicalStoppedItoIntegral.canonicalStoppedItoProcess`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CanonicalStoppedItoIntegral.canonicalStoppedItoProcess_stronglyAdapted`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CanonicalStoppedItoIntegral.canonicalStoppedItoProcess_martingale`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CanonicalStoppedItoIntegral.canonicalStoppedItoProcess_continuousOn`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CanonicalStoppedItoIntegral.canonicalStoppedItoProcess_at_eq_terminal`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CanonicalStoppedItoIntegral.chewi_display_1_1_14`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CarreDuChamp.carreDuChamp`	def	authored
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CarreDuChamp.carreDuChamp_comm`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CarreDuChamp.iteratedCarreDuChamp`	def	authored
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CarreDuChamp.iteratedCarreDuChamp_comm`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CarreDuChamp.SatisfiesBakryEmery`	def	authored
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CarreDuChamp.carreDuChamp_nonneg_of_markov_jensen_rightGenerator`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CarreDuChamp.fundamental_integration_by_parts`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CarreDuChamp.negativeGenerator_quadratic_nonneg`	theorem	authored
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ChewiDefinition1_1_17.stochasticIntegral`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ChewiDefinition1_1_17.stochasticIntegral_coordinate`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ChewiDefinition1_1_17.drift_integral_coordinate`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ChewiDefinition1_1_17.definition_1_1_17_vector_display`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ChewiDefinition1_1_17.chewi_definition_1_1_17`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ChewiDisplay1_1_18.chewi_display_1_1_18_integral_meaning`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ChewiItoProcess.SourceData`	structure	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ChewiItoProcess.SourceData.initial_coordinate_stronglyMeasurable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ChewiItoProcess.SourceData.drift_coordinate_progressive`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ChewiItoProcess.SourceData.drift_coordinate_integrable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ChewiItoProcess.SourceData.diffusion_entry_progressive`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ChewiItoProcess.SourceData.toCoordinateItoData`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ChewiItoProcess.process`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ChewiItoProcess.definition_1_1_17_coordinate_display`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ChewiItoProcess.ChewiSourceData`	abbrev	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ChewiItoProcessProgressive.process_stronglyProgressive`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ChewiProposition1_1_16.chewi_proposition_1_1_16`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ChewiProposition1_1_16.chewi_proposition_1_1_16_stopped_integral_representation`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ChewiProposition1_1_16.chewi_proposition_1_1_16_localizers`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CoefficientTruncation.clip`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CoefficientTruncation.clipNat`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CoefficientTruncation.continuous_clipNat`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CoefficientTruncation.stronglyMeasurable_clipNat`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CoefficientTruncation.abs_clip_le_abs`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CoefficientTruncation.abs_clip_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CoefficientTruncation.abs_clipNat_le_abs`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CoefficientTruncation.abs_clipNat_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CoefficientTruncation.clipNat_eventually_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CoefficientTruncation.tendsto_clipNat`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CoefficientTruncation.aestronglyMeasurable_clipNat`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CoefficientTruncation.clipNat_memLp`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CoefficientTruncation.abs_clipNat_sub_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CoefficientTruncation.tendsto_clipNat_toLp`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CompletedEnergy.badEnergySet`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CompletedEnergy.measure_badEnergySet_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CompletedEnergy.measurableSet_badEnergySet`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CompletedEnergy.completedEnergy`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CompletedEnergy.completedEnergy_stronglyMeasurable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CompletedEnergy.continuous_completedEnergy`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CompletedEnergy.monotone_completedEnergy`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CompletedEnergy.completedEnergy_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CompletedEnergy.completedEnergy_nonneg`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CompletedEnergy.completedEnergy_eq_terminal_of_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CompletedEnergy.measurableSet_completedEnergy_ge`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CompletedIntegrand.completedIntegrand`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CompletedIntegrand.completedIntegrand_stronglyProgressive`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CompletedIntegrand.sectionSquare_integrable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CompletedIntegrand.completedEnergy_eq_prefixIntegral`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.CompletedIntegrand.completedEnergy_stronglyProgressive`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ContinuousDoobL2.dyadicMaxEvent`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ContinuousDoobL2.dyadicMaxEventAll`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ContinuousDoobL2.measurableSet_dyadicMaxEvent`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ContinuousDoobL2.measurableSet_dyadicMaxEventAll`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ContinuousDoobL2.monotone_dyadicMaxEvent`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ContinuousDoobL2.runningAbsMax_nonneg`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ContinuousDoobL2.pow_mul_measure_dyadicMaxEvent_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ContinuousDoobL2.pow_mul_measure_dyadicMaxEventAll_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ContinuousDoobL2.measure_dyadicMaxEventAll_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ContinuousDoobL2.activeCellIndex`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ContinuousDoobL2.activeCellIndex_spec`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ContinuousDoobL2.rightApproxTime`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ContinuousDoobL2.rightApproxTime_eq_grid`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ContinuousDoobL2.rightApproxTime_mem_Icc`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ContinuousDoobL2.rightApproxTime_le_add_mesh`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ContinuousDoobL2.tendsto_rightApproxTime`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ContinuousDoobL2.continuousOn_mem_dyadicMaxEventAll`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ContinuousDoobL2.continuousExceedEvent`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ContinuousDoobL2.doobL2_continuous`	theorem	existing-notes
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DiscreteDoobL2.sampledFiltration`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DiscreteDoobL2.Martingale.sampled`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DiscreteDoobL2.runningAbsMax`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DiscreteDoobL2.doobL2_finite`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DiscreteDoobL2.doobL2_finite_sq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DiscreteDoobL2.doobL2_sampled`	theorem	needed
`MeasureTheory.runMax`	def	needed
`MeasureTheory.runMax_nonneg`	lemma	needed
`MeasureTheory.runMax_measurable`	lemma	needed
`MeasureTheory.runMax_stronglyMeasurable`	lemma	needed
`MeasureTheory.layer_meas_bound`	lemma	needed
`MeasureTheory.lintegral_runMax_rpow_eq_layer`	lemma	needed
`MeasureTheory.layer_integrand_bound`	lemma	needed
`MeasureTheory.A_le_layer_integral`	lemma	needed
`MeasureTheory.lintegral_rpow_Ioc`	lemma	needed
`MeasureTheory.ofReal_setIntegral_eq_setLIntegral_ofReal`	lemma	needed
`MeasureTheory.inner_t_integral`	lemma	needed
`MeasureTheory.fubini_swap`	lemma	needed
`MeasureTheory.holder_apply`	lemma	needed
`MeasureTheory.inner_t_integral_truncated`	lemma	needed
`MeasureTheory.fubini_swap_truncated`	lemma	needed
`MeasureTheory.A_K_le_layer_integral`	lemma	needed
`MeasureTheory.holder_step_truncated`	lemma	needed
`MeasureTheory.holder_step`	lemma	needed
`MeasureTheory.eLpNorm_eq_lintegral_ofReal_pow`	lemma	needed
`MeasureTheory.maximal_ineq_Lp`	theorem	needed
`MeasureTheory.martingale_norm_submartingale`	lemma	needed
`MeasureTheory.Martingale.eLpNorm_norm_runMax_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.refinementFactor`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.refinementFactor_pos`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.pow_mul_refinementFactor`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.coarseCell`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.coarseCell_val`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.coarseCell_block_left`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.coarseCell_block_right`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.dyadicMesh_coarse_eq_factor_mul`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.coarse_left_endpoint_le_fine_left`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.fine_right_endpoint_le_coarse_right`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.regularDyadic_last_time`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.DyadicElementaryProcess.horizon_pos`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.refineDyadic`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.refineDyadic_level`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.refineDyadic_times`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.refineDyadic_coeff`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.refineDyadic_coeff_stronglyMeasurable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.refineDyadic_value_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.refineDyadic_toLp_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.refinementEquiv`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.refinementEquiv_val`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.coarseCell_refinementEquiv`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.sum_brownianIncrements_block`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.fine_block_left_endpoint`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.fine_block_right_endpoint`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.refineDyadic_elementaryItoIntegral_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.refineDyadic_terminalToLp_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.terminalToLp`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.processToLp`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.elementaryProcessToLp_eq_processToLp`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.commonDyadicLevel`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.commonRefinementLeft`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.commonRefinementRight`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.commonRefinement_times_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.commonRefinementLeftProcess`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.commonRefinementRightProcess`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.commonRefinementProcess_times_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.commonRefinementLeft_toLp_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.commonRefinementRight_toLp_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.commonRefinementLeft_processToLp_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.commonRefinementRight_processToLp_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.commonRefinementLeft_terminalToLp_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.commonRefinementRight_terminalToLp_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryRefinement.norm_terminal_sub_eq_process_sub`	theorem	existing-notes
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryStopping.stopDyadicAtGridIndex`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryStopping.stopDyadicAtGridIndex_level`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryStopping.stopDyadicAtGridIndex_coeff`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryStopping.cutoffTime`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryStopping.cutoffTime_le_horizon`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryStopping.stopDyadicAtGridIndex_elementaryItoIntegral`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryStopping.stopDyadicAtGridIndex_terminalToLp`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryStopping.stopDyadicAtGridIndex_value_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryStopping.stoppingLevel`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryStopping.level_le_stoppingLevel`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryStopping.rightCutoffIndex`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryStopping.stopAtRightApprox`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryStopping.cutoffTime_rightCutoffIndex`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryStopping.stopAtRightApprox_terminalToLp`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryStopping.stopAtRightApprox_value_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryStopping.tendsto_stoppingLevel`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryStopping.tendsto_rightApproxTime_stoppingLevel`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryStopping.tendsto_stopAtRightApprox_value_of_ne`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryStopping.tendsto_stopAtRightApprox_ae`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryStopping.abs_stopAtRightApprox_error_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicElementaryStopping.tendsto_stopAtRightApprox_toLp`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicGlobalHorizon.dyadicGlobalIndex`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicGlobalHorizon.dyadicHorizon`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicGlobalHorizon.dyadicGlobalIndex_add_one`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicGlobalHorizon.integerHorizon_dyadicGlobalIndex`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicGlobalHorizon.dyadicHorizon_pos`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicGlobalHorizon.dyadicGlobalIndex_mono`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicGlobalHorizon.dyadicGlobalIndex_ge_self`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicGlobalHorizon.tendsto_dyadicGlobalIndex_atTop`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicGlobalHorizon.dyadicGlobalLocalizingTime`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicGlobalHorizon.dyadicGlobalLocalizingTime_isChewiStoppingTime`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicGlobalHorizon.dyadicGlobalLocalizingTime_mono`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicGlobalHorizon.dyadicGlobalLocalizingTime_le_horizon`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicGlobalHorizon.dyadicGlobalLocalizingTime_tendsto_top_ae`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicGridStoppingIto.IsGridValuedFor`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicGridStoppingIto.stopElementary_coeff_eq_gridCutoff`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicGridStoppingIto.elementaryItoIntegral_stop_gridValued`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicHorizonExtension.extensionLevel`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicHorizonExtension.dyadicHorizon_mono`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicHorizonExtension.dyadicMesh_dyadicHorizon_align`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicHorizonExtension.oldCellCount_le_extension`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicHorizonExtension.prefixIndex`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicHorizonExtension.prefixIndex_val`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicHorizonExtension.prefix_time_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicHorizonExtension.extendDyadicHorizon`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicHorizonExtension.extendDyadicHorizon_level`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicHorizonExtension.extendDyadicHorizon_times`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicHorizonExtension.extendDyadicHorizon_coeff_prefix`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicHorizonExtension.extendDyadicHorizon_coeff_tail`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicHorizonExtension.extendDyadicHorizon_value_eq_of_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicHorizonExtension.extendDyadicHorizon_value_eq_zero_of_old_lt`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicHorizonExtension.extendDyadicHorizon_value_eq_restrictProcess_of_ne_terminal`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicHorizonExtension.processFunction_extendDyadicHorizon_ae_eq_restrictProcess`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicHorizonExtension.extendDyadicHorizon_toLp_eq_extendByZero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicHorizonIto.fin_sum_eq_sum_prefix_of_tail_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicHorizonIto.old_time_le_horizon`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicHorizonIto.extend_time_castSucc_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicHorizonIto.extend_time_succ_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicHorizonIto.extendDyadicHorizon_elementaryItoIntegral_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.DyadicHorizonIto.extendDyadicHorizon_terminalToLp_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoAlgebra.zeroLike`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoAlgebra.neg`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoAlgebra.smul`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoAlgebra.add`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoAlgebra.sub`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoAlgebra.zeroLike_value`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoAlgebra.neg_value`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoAlgebra.smul_value`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoAlgebra.add_value`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoAlgebra.sub_value`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoAlgebra.elementaryItoIntegral_zeroLike`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoAlgebra.elementaryItoIntegral_neg`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoAlgebra.elementaryItoIntegral_smul`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoAlgebra.elementaryItoIntegral_add`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoAlgebra.elementaryItoIntegral_sub`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoDoobL2.dyadicObservationTime`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoDoobL2.dyadicObservationTime_monotone`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoDoobL2.dyadicObservationTime_terminal`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoDoobL2.dyadicObservationTime_refine`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoDoobL2.measurable_runningAbsMax_dyadic`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoDoobL2.runningAbsMax_dyadic_mono_level`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoDoobL2.commonDifference`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoDoobL2.elementaryItoProcess_commonDifference`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoDoobL2.elementaryItoIntegral_commonDifference`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoDoobL2.eLpNorm_commonDifference_terminal`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoDoobL2.doobL2_elementaryItoProcess`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoDoobL2.doobL2_elementaryItoProcess_sub`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoEmbedding.processFunction_stronglyMeasurable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoEmbedding.value_stronglyProgressive`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoEmbedding.valueBound`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoEmbedding.abs_value_le_valueBound`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoEmbedding.value_memLp_two`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoEmbedding.toProgressiveL2`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoEmbedding.toProgressiveL2_process`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoEmbedding.toLp_add`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoEmbedding.toLp_sub`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoEmbedding.toLp_smul`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoIntegral.ElementaryAdaptedProcess`	structure	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoIntegral.ElementaryAdaptedProcess.value`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoIntegral.chewi_display_1_1_2`	theorem	existing-notes
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoIntegral.elementaryItoIntegral`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoIntegral.chewi_display_1_1_3`	theorem	existing-notes
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoIntegral.processTimeMeasure`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoIntegral.processL2Energy`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoIntegral.chewi_display_1_1_7`	theorem	existing-notes
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoIntegral.IsLocallySquareIntegrableOn`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoIntegral.chewi_display_1_1_10`	theorem	existing-notes
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoIsometry.brownianIncrement`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoIsometry.weightedIncrement`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoIsometry.elementaryItoIntegral_eq_sum_weightedIncrement`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoIsometry.grid_endpoint_le_of_lt`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoIsometry.coeff_memLp`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoIsometry.brownianIncrement_memLp_two`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoIsometry.weightedIncrement_memLp_two`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoIsometry.integral_weightedIncrement_sq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoIsometry.ordered_cross_integral_eq_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoIsometry.integral_weightedIncrement_mul_eq_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoIsometry.chewi_display_1_1_5`	theorem	existing-notes
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoIsometry.elementaryItoIntegral_sq_eq_sum`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoIsometry.sq_sum_eq_sum_sq_of_pairwise_mul_eq_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoIsometry.interval_piece_mul_eq_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoIsometry.ofReal_value_sq_eq_sum`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoIsometry.lintegral_value_sq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoIsometry.value_sq_aemeasurable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoIsometry.processL2Energy_value`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoIsometry.chewi_display_1_1_6`	theorem	existing-notes
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoL2.norm_sq_toLp_eq_integral_sq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoL2.elementaryItoIntegral_memLp_two`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoL2.elementaryItoTerminalToLp`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoL2.norm_sq_elementaryItoTerminalToLp`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoL2.elementaryProcessToLp`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoL2.ofReal_norm_sq_elementaryProcessToLp_eq_energy`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoL2.norm_elementaryItoTerminalToLp`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoL2.elementaryItoTerminalToLp_add`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoL2.elementaryProcessToLp_add`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoL2.inner_elementaryItoTerminalToLp`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoL2.elementaryItoTerminalToLp_sub`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoL2.elementaryProcessToLp_sub`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoL2.norm_elementaryItoTerminalToLp_sub`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoProcess.elementaryItoProcess`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoProcess.elementaryItoProcess_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoProcess.elementaryItoProcess_stronglyAdapted`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoProcess.elementaryItoProcess_integrable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoProcess.stoppedWeightedIncrement`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoProcess.stoppedWeightedIncrement_memLp_two`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoProcess.stoppedWeightedIncrement_stronglyAdapted`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoProcess.stoppedWeightedIncrement_martingale`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoProcess.elementaryItoSummand`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoProcess.elementaryItoSummand_martingale`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoProcess.elementaryItoProcess_martingale`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoProcess.elementaryItoProcess_terminal`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryItoProcess.elementaryItoProcess_continuous_ae`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryStoppingTime.activeBefore`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryStoppingTime.measurableSet_activeBefore`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryStoppingTime.stopElementary`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryStoppingTime.stopElementary_times`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ElementaryStoppingTime.stopElementary_coeff`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.EnergyPathContinuity.enorm_sq_eq_ofReal_sq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.EnergyPathContinuity.accumulatedEnergyReal_eq_prefixIntegral`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.EnergyPathContinuity.sectionSquare_aestronglyMeasurable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.EnergyPathContinuity.sectionSquare_integrable_ae`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.EnergyPathContinuity.continuous_accumulatedEnergyReal_of_integrable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.EnergyPathContinuity.continuous_accumulatedEnergyReal_ae`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.EnergyPathContinuity.accumulatedEnergyReal_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.EnergyPathContinuity.accumulatedEnergyReal_mono_of_integrable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.EnergyPathContinuity.accumulatedEnergyReal_eq_terminal_of_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.EnergyPathContinuity.measurableSet_accumulatedEnergyReal_ge`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.EnergyStoppedIntegrand.energyStoppedIntegrand`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.EnergyStoppedIntegrand.energyStoppedIntegrand_stronglyProgressive`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.EnergyStoppedIntegrand.completedEnergy_lt_iff_lt_canonicalEnergyLocalizer`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.EnergyStoppedIntegrand.sectionSquare_integrable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.EnergyStoppedIntegrand.integral_energyStoppedIntegrand_sq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.EnergyStoppedIntegrand.integral_energyStoppedIntegrand_sq_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.EnergyStoppedItoOverlap.energyStoppedItoProcess_overlap_ae`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.EnergyStoppedItoOverlap.canonicalStoppedItoProcess_overlap_ae`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.EnergyStoppedProgressiveL2.stoppedExtension`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.EnergyStoppedProgressiveL2.stoppedExtension_stronglyMeasurable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.EnergyStoppedProgressiveL2.stoppedExtension_apply_of_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.EnergyStoppedProgressiveL2.processFunction_aestronglyMeasurable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.EnergyStoppedProgressiveL2.processFunction_sq_integrable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.EnergyStoppedProgressiveL2.stoppedProgressiveL2`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.EnergyStoppedProgressiveL2.stoppedProgressiveL2_process`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.EnergyStoppingBoundaryBridge.energyStoppedIntegrand_eq_closedStop_larger_of_ne_boundary`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.EnergyStoppingBoundaryBridge.energyStoppedIntegrand_ae_eq_closedStop_larger`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.EnergyStoppingL2Bridge.ae_time_le_terminal`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.EnergyStoppingL2Bridge.ae_time_ne_terminal`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.EnergyStoppingL2Bridge.processFunction_energyStopped_ae_eq_closedStop_larger`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.EnergyStoppingL2Bridge.stoppedProgressiveL2_toLp_eq_stop_larger`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.EuclideanBrownianCoordinates.coordinateDual`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.EuclideanBrownianCoordinates.coordinateDual_apply`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.EuclideanBrownianCoordinates.norm_coordinateDual`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.EuclideanBrownianCoordinates.projectedIncrementVariance_coordinateDual`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.EuclideanBrownianCoordinates.coordinate_increment_hasLaw`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.EuclideanBrownianCoordinates.coordinate_eval_hasLaw`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.EuclideanBrownianCoordinates.IsStandardBrownianMotion.coordinate_isBrownianReal`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.EuclideanBrownianCoordinates.IsStandardBrownianMotionWithFiltration.coordinate_stronglyAdapted`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.EuclideanBrownianCoordinates.IsStandardBrownianMotionWithFiltration.coordinate_incrementIndependent`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.EuclideanBrownianCoordinates.IsStandardBrownianMotionWithFiltration.coordinate`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.EuclideanBrownianCoordinates.coordinateFamily`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FellerGeneratorBridge.fellerOperator_const`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FellerGeneratorBridge.continuousLinearSemigroupOfFeller_op_const`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FellerGeneratorBridge.hasRightGeneratorAt_const`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FellerGeneratorBridge.const_mem_generatorDomainSubmodule`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FellerSemigroup.FellerTransitionKernelContract`	structure	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FellerSemigroup.integrable_boundedContinuousFunction`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FellerSemigroup.norm_kernelIntegral_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FellerSemigroup.fellerOperatorValue`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FellerSemigroup.fellerOperatorValue_apply`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FellerSemigroup.fellerOperatorValue_add`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FellerSemigroup.fellerOperatorValue_smul`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FellerSemigroup.fellerLinearMap`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FellerSemigroup.fellerOperator`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FellerSemigroup.fellerOperator_apply`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FellerSemigroup.norm_fellerOperator_apply_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FellerSemigroup.sq_fellerOperator_apply_le`	theorem	existing-notes
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FellerSemigroup.fellerOperator_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FellerSemigroup.fellerOperator_add`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FellerSemigroup.continuousLinearSemigroupOfFeller`	def	existing-notes
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FellerSemigroup.continuousLinearSemigroupOfFeller_op_apply`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FiniteDimensionalItoProcess.CoordinateBrownianFamilyWithFiltration`	structure	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FiniteDimensionalItoProcess.CoordinateItoData`	structure	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FiniteDimensionalItoProcess.coordinateStochasticTerm`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FiniteDimensionalItoProcess.coordinateItoProcess`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FiniteDimensionalItoProcess.chewi_definition_1_1_17_coordinate_display`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FiniteDimensionalItoProcess.ChewiItoData`	abbrev	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FiniteDimensionalItoProcess.ChewiBrownianCoordinates`	abbrev	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FiniteDimensionalItoProcessProgressive.initialCoordinateProcess_stronglyProgressive`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FiniteDimensionalItoProcessProgressive.coordinateStochasticTerm_stronglyProgressive`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FiniteDimensionalItoProcessProgressive.coordinateItoProcess_coordinate_stronglyProgressive`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FiniteDimensionalNormBridge.matrixSquareEnergy`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FiniteDimensionalNormBridge.matrixSquareEnergy_nonneg`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FiniteDimensionalNormBridge.entry_sq_le_matrixSquareEnergy`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FiniteDimensionalNormBridge.matrixAsEuclidean`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FiniteDimensionalNormBridge.norm_sq_matrixAsEuclidean`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FiniteDimensionalNormBridge.MatrixLocallySquareIntegrableOn`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FiniteDimensionalNormBridge.MatrixLocallySquareIntegrableOn.entry`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FiniteDimensionalNormBridge.MatrixLocallySquareIntegrableNormOn`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FiniteDimensionalNormBridge.MatrixLocallySquareIntegrableNormOn.toEnergy`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FiniteDimensionalNormBridge.MatrixLocallySquareIntegrableNormOn.entry`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FiniteDimensionalNormBridge.entryGlobalLocalProgressiveL2`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FiniteTimeGrid.strictGrid_existsUnique_cell`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FiniteTimeGrid.ElementaryAdaptedProcess.value_eq_coeff_of_mem_cell`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FiniteTimeGrid.ElementaryAdaptedProcess.value_eq_zero_of_le_first`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FiniteTimeGrid.ElementaryAdaptedProcess.value_eq_zero_of_last_lt`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FiniteTimeGrid.dyadicMesh_tendsto_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FiniteTimeGrid.eventually_two_mul_dyadicMesh_lt`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FiniteTimeGrid.eventually_dyadicMesh_lt`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FiniteTimeGrid.dyadic_activeCell`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FiniteTimeGrid.dyadic_activeCell_left_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FiniteTimeGrid.dyadic_activeCell_right`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FiniteTimeGrid.dyadic_previousCell_subset_leftNeighborhood`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FokkerPlanckAlgebra.fpRewriteScalarAlgebra`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.FokkerPlanckAlgebra.fisherIbpAlgebra`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GaussianFourthMoment.integral_pow_four_gaussianReal_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GeneratorStationarity.hasRightGeneratorAt_zero_of_fixed`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GeneratorStationarity.mem_generatorDomainSubmodule_of_fixed`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GeneratorStationarity.invariantFunctional_generator_eq_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GeneratorStationarity.invariantFunctional_rightGenerator_eq_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Girsanov.finiteShiftedGaussianPathMeasure`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Girsanov.finiteGaussianGirsanovWeight`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Girsanov.finiteGaussianGirsanovCylinderIntegral`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Girsanov.finiteGaussianGirsanovCylinderMeasure_eq_withDensity`	theorem	existing-notes
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Girsanov.integral_finiteGaussianGirsanovWeight_eq_one`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalCanonicalLocalizer.integerHorizon`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalCanonicalLocalizer.integerHorizon_pos`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalCanonicalLocalizer.integerHorizon_succ`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalCanonicalLocalizer.integerHorizon_mono`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalCanonicalLocalizer.globalBadSet`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalCanonicalLocalizer.measure_globalBadSet_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalCanonicalLocalizer.measurableSet_globalBadSet`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalCanonicalLocalizer.not_bad_on_integerHorizon`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalCanonicalLocalizer.completedEnergy_eq_of_le_horizons`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalCanonicalLocalizer.globalLocalizingTime`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalCanonicalLocalizer.globalLocalizingTime_of_bad`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalCanonicalLocalizer.globalLocalizingTime_of_good`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalCanonicalLocalizer.globalLocalizingTime_le_horizon`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalCanonicalLocalizer.globalLocalizingTime_isChewiStoppingTime`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalCanonicalLocalizer.globalLocalizingTime_mono`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalCanonicalLocalizerLimit.eventually_lt_globalLocalizingTime_of_good`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalCanonicalLocalizerLimit.tendsto_globalLocalizingTime_top_of_good`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalCanonicalLocalizerLimit.globalLocalizingTime_tendsto_top_ae`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalItoProcessGluing.globalItoGluingGoodSet`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalItoProcessGluing.globalItoGluingGoodSet_ae`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalItoProcessGluing.globalItoGluingBadSet`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalItoProcessGluing.measure_globalItoGluingBadSet_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalItoProcessGluing.measurableSet_globalItoGluingBadSet_at`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalItoProcessGluing.rawGlobalItoProcess`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalItoProcessGluing.rawGlobalItoProcess_stronglyMeasurable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalItoProcessGluing.tendsto_globalStoppedItoProcess_of_good_of_le_localizer`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalItoProcessGluing.rawGlobalItoProcess_eq_globalStopped_of_good_of_le_localizer`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalItoProcessGluing.globalItoProcess`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalItoProcessGluing.globalItoProcess_eq_globalStopped_of_good_of_le_localizer`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalItoProcessGluing.globalItoProcess_stronglyAdapted`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalItoProcessGluing.globalItoProcess_continuousAt_of_good`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalItoProcessGluing.globalItoProcess_continuous`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalItoProcessGluing.globalItoProcess_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalItoProcessGluing.stopped_globalItoProcess_eq_stopped_globalStopped_ae`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalItoProcessGluing.stopped_globalItoProcess_martingale`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalItoProcessGluing.globalItoProcess_isLocalMartingale`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalItoProcessProgressive.globalItoProcess_stronglyProgressive`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalLocalProgressiveL2.GlobalLocalProgressiveL2Integrand`	structure	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalLocalProgressiveL2.GlobalLocalProgressiveL2Integrand.onHorizon`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalLocalProgressiveL2.GlobalLocalProgressiveL2Integrand.onHorizon_process`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalLocalProgressiveL2.GlobalLocalProgressiveL2Integrand.chewi_global_condition_1_1_10`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalStoppedItoMartingale.globalStoppedItoProcess`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalStoppedItoMartingale.globalStoppedItoProcess_stronglyAdapted`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalStoppedItoMartingale.globalStoppedItoProcess_martingale`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalStoppedItoMartingale.globalStoppedItoProcess_continuous`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalStoppedItoMartingale.globalStoppedItoProcess_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalStoppedItoMartingale.globalStoppedItoProcess_eq_horizon_of_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalStoppedItoMartingale.globalStoppedItoProcess_overlap_pathwise_ae`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalStoppedItoMartingale.globalStoppedItoProcess_eq_of_le_localizer_ae`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalStoppedItoMartingale.stopped_globalStoppedItoProcess_martingale`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalStoppedItoOverlap.globalStoppedItoProcess`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalStoppedItoOverlap.globalStoppedItoProcess_stronglyAdapted`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalStoppedItoOverlap.globalStoppedItoProcess_martingale`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalStoppedItoOverlap.globalStoppedItoProcess_continuous`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalStoppedItoOverlap.globalStoppedItoProcess_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalStoppedItoOverlap.stoppedProcess_coe_eq_min`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalStoppedItoOverlap.stopped_globalStoppedItoProcess_continuous`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalStoppedItoOverlap.stopped_large_eq_ito_stop_pathwise_ae`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalStoppedItoOverlap.globalStoppedItoProcess_overlap_pathwise_ae`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalStoppedL2Overlap.dyadicGlobalLocalizingTime_coe_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalStoppedL2Overlap.stopped_globalStoppedIntegrand_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalStoppedL2Overlap.stop_globalStoppedProgressiveL2_process`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalStoppedL2Overlap.stop_globalStopped_toLp_eq_extendByZero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalStoppedProgressiveL2.globalStoppedIntegrand`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalStoppedProgressiveL2.globalStoppedIntegrand_stronglyProgressive`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalStoppedProgressiveL2.dyadicGlobalLocalizingTime_eq_canonicalRaw_of_good`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalStoppedProgressiveL2.globalStoppedTimeLintegral_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalStoppedProgressiveL2.globalStoppedExtension`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalStoppedProgressiveL2.globalStoppedExtension_stronglyMeasurable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalStoppedProgressiveL2.globalStoppedExtension_apply_of_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalStoppedProgressiveL2.globalStoppedProcessFunction_aestronglyMeasurable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalStoppedProgressiveL2.globalStoppedProcessFunction_sq_integrable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalStoppedProgressiveL2.globalStoppedProgressiveL2`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.GlobalStoppedProgressiveL2.globalStoppedProgressiveL2_process`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoFormulaAlgebra.diffusionColumn`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoFormulaAlgebra.driftGradientTerm`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoFormulaAlgebra.diffusionGradientCoefficient`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoFormulaAlgebra.secondDerivativeQuadraticForm`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoFormulaAlgebra.diffusionHessianContraction`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoFormulaAlgebra.itoDriftCorrection`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoFormulaAlgebra.driftGradientTerm_eq_fderiv`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoFormulaAlgebra.diffusionGradientCoefficient_eq_fderiv`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoFormulaAlgebra.driftGradientTerm_eq_sum`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoFormulaAlgebra.diffusionGradientCoefficient_eq_sum`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoFormulaAlgebra.secondDerivativeQuadraticForm_eq_of_hasFDerivAt`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoFormulaAlgebra.diffusionHessianContraction_eq_of_hasFDerivAt`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoHorizonConsistency.extendedCanonicalApprox`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoHorizonConsistency.tendsto_extendedCanonicalApprox_toLp`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoHorizonConsistency.tendsto_extendedCanonicalApprox_processToLp`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoHorizonConsistency.extendedCanonicalApprox_terminal_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoHorizonConsistency.itoIntegralTerminal_extendByZero_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoHorizonProcessConsistency.extendByZero_restrictAt_toLp_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoHorizonProcessConsistency.itoIntegralTerminal_restrict_cross_horizon_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoHorizonProcessConsistency.itoIntegralProcess_extendByZero_ae`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoHorizonProcessConsistency.itoIntegralProcess_extendByZero_pathwise_ae`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.canonicalItoProcess`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.canonicalIncrement`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.canonicalIncrement_eq_sub`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.canonicalItoProcess_martingale`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.canonicalIncrement_martingale`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.canonicalItoProcess_continuous_ae`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.uniformThreshold`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.uniformThreshold_pos`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.summable_uniformThreshold`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.fastTolerance_succ_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.norm_canonical_process_consecutive_lt`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.uniformBadEvent`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.measurableSet_uniformBadEvent`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.badEventMajorant`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.measure_uniformBadEvent_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.badEventMajorant_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.tsum_badEventMajorant_ne_top`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.tsum_measure_uniformBadEvent_ne_top`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.eventually_not_uniformBadEvent_ae`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.canonicalItoProcess_continuous_all_ae`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.uniformCauchyEvent`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.uniformCauchyEvent_ae`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.canonicalIncrement_abs_le_of_not_mem_bad`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.sum_canonicalIncrement_Ico`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.canonicalItoProcess_sub_abs_le_sum_threshold`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.canonicalItoProcess_uniformCauchyOn`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.uniformBadSet`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.measure_uniformBadSet_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.measurableSet_uniformBadSet_at`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.canonicalPathLimit`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.tendsto_canonicalItoProcess_canonicalPathLimit`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.tendstoUniformlyOn_canonicalPathLimit`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.canonicalPathLimit_continuousOn`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.itoIntegralProcess`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.itoIntegralProcess_continuousOn`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.itoIntegralProcess_continuous_ae`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.canonicalPathLimit_stronglyMeasurable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.itoIntegralProcess_stronglyAdapted`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.tendsto_canonicalItoProcess_itoIntegralProcess_ae`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.itoIntegralTerminal_restrictAt_elementary_ae`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.terminalRepresentative`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.terminalRepresentative_memLp`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.terminalRepresentative_integrable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.terminalConditionalProcess`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.terminalConditionalProcess_martingale`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.terminalApprox_ae_eq_canonicalItoProcess_terminal`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.tendsto_eLpNorm_terminalApprox_sub_representative`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.tendsto_eLpNorm_terminalCondApprox_sub`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.tendstoInMeasure_terminalCondApprox`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.terminalCondApprox_ae_eq_canonicalItoProcess`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.tendstoInMeasure_canonicalItoProcess_terminalConditional`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.tendstoInMeasure_canonicalItoProcess_actual`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.terminalConditionalProcess_ae_eq_actual_of_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.tendstoInMeasure_terminalApprox_representative`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.tendstoInMeasure_canonicalItoProcess_terminal`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.terminalRepresentative_ae_eq_actual`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.itoIntegralProcess_at_eq_terminal_of_pos`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.itoIntegralProcess_at_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.itoIntegralTerminal_restrictAt_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.itoIntegralProcess_at_eq_terminal`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.itoIntegralProcess_isometry_restrictAt`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.itoIntegralTerminal_restrictAt_add`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.itoIntegralTerminal_restrictAt_smul`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.itoIntegralProcess_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.itoIntegralProcess_add`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.itoIntegralProcess_smul`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.itoIntegralProcess_unique`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.canonicalItoProcess_eq_terminal_of_horizon_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.canonicalPathLimit_eq_terminal_of_horizon_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.itoIntegralProcess_eq_terminal_of_horizon_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.terminalConditionalProcess_ae_eq_actual_of_horizon_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.terminalConditionalProcess_ae_eq_actual`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.itoIntegralProcess_martingale`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.itoIntegralProcess_integrable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.itoIntegralProcess_terminal_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.chewi_display_1_1_9_terminal`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.chewi_display_1_1_9`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcess.chewi_theorem_1_1_8`	theorem	existing-notes
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcessAfterHorizon.canonicalItoProcess_eq_terminal_of_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcessAfterHorizon.canonicalPathLimit_eq_terminal_of_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcessAfterHorizon.itoIntegralProcess_eq_terminal_of_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcessAfterHorizon.itoIntegralProcess_continuous`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcessAfterHorizon.stoppedProcess_eq_terminal_of_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcessCongruence.itoIntegralProcess_congr_toLp_ae`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcessCongruence.itoIntegralProcess_congr_toLp_pathwise_ae`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoIntegralProcessGlobalContinuity.itoIntegralProcess_continuous`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoTerminalCompletion.integrandToLp`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoTerminalCompletion.terminalApprox`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoTerminalCompletion.processApprox`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoTerminalCompletion.tendsto_processApprox`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoTerminalCompletion.norm_terminalApprox_sub`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoTerminalCompletion.terminalApprox_cauchy`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoTerminalCompletion.itoIntegralTerminal`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoTerminalCompletion.tendsto_terminalApprox`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoTerminalCompletion.tendsto_terminal_of_tendsto_elementary`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoTerminalCompletion.norm_terminalToLp_eq_processToLp`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoTerminalCompletion.itoIntegralTerminal_norm`	theorem	existing-notes
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoTerminalCompletion.commonLeftProcess`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoTerminalCompletion.commonRightProcess`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoTerminalCompletion.commonProcess_times_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoTerminalCompletion.commonLeftProcess_terminalToLp_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoTerminalCompletion.commonRightProcess_terminalToLp_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoTerminalCompletion.commonLeftProcess_processToLp_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoTerminalCompletion.commonRightProcess_processToLp_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoTerminalCompletion.addDyadic`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoTerminalCompletion.smulDyadic`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoTerminalCompletion.terminalToLp_addDyadic`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoTerminalCompletion.processToLp_addDyadic`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoTerminalCompletion.terminalToLp_smulDyadic`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoTerminalCompletion.processToLp_smulDyadic`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoTerminalCompletion.integrandToLp_add`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoTerminalCompletion.integrandToLp_neg`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoTerminalCompletion.integrandToLp_sub`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoTerminalCompletion.integrandToLp_smul`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoTerminalCompletion.itoIntegralTerminal_congr_toLp`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoTerminalCompletion.itoIntegralTerminal_add`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoTerminalCompletion.itoIntegralTerminal_smul`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoTerminalCompletion.itoIntegralTerminal_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoTerminalCompletion.itoIntegralTerminal_neg`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoTerminalCompletion.itoIntegralTerminal_sub`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoTerminalCompletion.elementaryIntegrand`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoTerminalCompletion.itoIntegralTerminal_elementary`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoTerminalCompletion.itoIntegralTerminal_isometry_sub`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoTerminalCompletion.itoIntegralTerminal_inner`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoTerminalCompletion.itoIntegralTerminalOnHorizon`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoTerminalCompletion.itoIntegralTerminalOnHorizon_of_pos`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoTerminalCompletion.itoIntegralTerminal_zero_horizon`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.L2GeneratorIdentities.integral_rightGenerator_eq_zero_of_expectation_invariant`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.L2GeneratorIdentities.integral_rightGenerator_mul_eq_integral_mul_rightGenerator`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LaggedDyadicApproximation.clippedExtensionAt`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LaggedDyadicApproximation.clippedExtensionAt_stronglyMeasurable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LaggedDyadicApproximation.clippedExtensionAt_apply_of_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LaggedDyadicApproximation.clippedExtensionAt_abs_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LaggedDyadicApproximation.laggedCellAverage`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LaggedDyadicApproximation.laggedCellAverage_stronglyMeasurable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LaggedDyadicApproximation.laggedCellAverage_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LaggedDyadicApproximation.laggedCellAverage_abs_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LaggedDyadicApproximation.dyadicLeftTime`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LaggedDyadicApproximation.laggedDyadicCoeff`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LaggedDyadicApproximation.dyadicMesh_le_leftTime_of_ne_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LaggedDyadicApproximation.dyadicLeftTime_le_terminal`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LaggedDyadicApproximation.laggedDyadicCoeff_stronglyMeasurable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LaggedDyadicApproximation.laggedDyadicCoeff_abs_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LaggedDyadicApproximation.laggedDyadicApprox`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LaggedDyadicApproximation.laggedDyadicApprox_times`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LaggedDyadicApproximation.laggedDyadicApprox_coeff`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LaggedDyadicApproximation.laggedDyadicApprox_last_time`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LaggedDyadicApproximation.laggedDyadicApprox_isElementaryAdapted`	theorem	existing-notes
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LaggedDyadicConvergence.abs_laggedDyadicApprox_sub_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LaggedDyadicConvergence.clippedHorizonFunction`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LaggedDyadicConvergence.clippedHorizonFunction_stronglyMeasurable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LaggedDyadicConvergence.clippedHorizonFunction_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LaggedDyadicConvergence.laggedDyadicApprox_tendsto_ae_time`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LaggedDyadicConvergence.laggedDyadicApprox_tendsto_ae`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LaggedDyadicConvergence.laggedDyadicApprox_abs_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LaggedDyadicConvergence.abs_laggedDyadic_error_le_two_mul`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LaggedDyadicConvergence.tendsto_integral_sq_laggedDyadicApprox_sub`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LaggedDyadicConvergence.tendsto_laggedDyadicApprox_toLp_clipped`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Langevin.hasDerivAt_gibbsWeight_mul_testDeriv_eq_langevinGenerator_1d`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Langevin.deriv_gibbsWeight_mul_testDeriv_eq_langevinGenerator_1d`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Langevin.weightedDivergence_gibbsWeight_langevinGenerator_algebra`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Langevin.expNeg_weightedDivergence_langevinGenerator_algebra`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Langevin.finiteCoord_weightedDivergence_langevinGenerator_algebra`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Langevin.finiteCoord_named_weightedDivergence_langevinGenerator_algebra`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Langevin.finiteCoord_toLpInner_weightedDivergence_langevinGenerator_algebra`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Langevin.finiteCoord_euclideanInner_weightedDivergence_langevinGenerator_algebra`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Langevin.finiteEuclidean_langevinGenerator_basisDisplay`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Langevin.finiteEuclidean_langevinGenerator_coordinateDisplay`	theorem	existing-notes
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Langevin.finiteEuclidean_weightedDivergence_langevinGenerator_basisHandoff`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Langevin.finiteEuclidean_weightedDivergence_langevinGenerator_coordinateHandoff`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Langevin.finiteEuclidean_expNeg_weightedDivergence_langevinGenerator_basisHandoff`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Langevin.finiteEuclidean_expNeg_weightedDivergence_langevinGenerator_coordinateHandoff`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Langevin.finiteEuclidean_expNeg_lineDeriv_fderiv_coordinateSum_langevinGenerator_display`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Langevin.finiteEuclidean_expNeg_lineDeriv_fderiv_coordinateSum_langevinGenerator_display_of_differentiableAt`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Langevin.coordinateDivergence_expNeg_fderivCoordinateField_langevinGenerator_display_of_differentiableAt`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Langevin.trace_expNeg_fderivCoordinateField_langevinGenerator_display_of_hasFDerivAt`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Langevin.continuousOn_expNeg_langevinGenerator_rhs_of_components`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Langevin.continuousOn_expNeg_langevinGenerator_rhs_of_contDiff`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Langevin.hasFDerivAt_expNeg_fderivCoordinateField_of_differentiableAt`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Langevin.hasFDerivAt_expNeg_fderivCoordinateField_of_contDiff`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Langevin.integrableOn_trace_expNeg_fderivCoordinateField_of_continuousOn`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Langevin.integrableOn_trace_expNeg_fderivCoordinateField_of_component_continuousOn`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Langevin.integrableOn_trace_expNeg_fderivCoordinateField_of_contDiff`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Langevin.integrableOn_trace_expNeg_fderivCoordinateField_of_contDiff_fderiv`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Langevin.integrable_expNeg_langevinGenerator_rhs_of_contDiff_of_hasCompactSupport`	theorem	existing-notes
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Langevin.integrable_expNeg_langevinGenerator_rhs_comp_toLp_of_contDiff_of_hasCompactSupport`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Langevin.integrable_expNeg_comp_toLp_of_lintegral_expNeg_ne_top`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Langevin.tendsto_setIntegral_expNeg_norm_ge_comp_toLp_of_lintegral_expNeg_ne_top`	theorem	existing-notes
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Langevin.integral_expNeg_langevinGenerator_rhs_eq_zero_of_contDiff_of_hasCompactSupport`	theorem	existing-notes
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Langevin.integrable_expNeg_fderivCoordinateField_of_lintegral_expNeg_ne_top_of_fderiv_norm_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LangevinCanonicalFisherGamma.SmoothCanonicalPairDomain`	structure	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LangevinCanonicalFisherGamma.carreDuChamp_density_logRatio_eq_inner_ae`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LangevinCanonicalFisherGamma.hasCanonicalFisherGamma`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LangevinCanonicalFisherGamma.dirichletForm_density_logRatio_eq_information`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LangevinCarreDuChamp.laplacian_mul`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LangevinCarreDuChamp.gradient_mul`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LangevinCarreDuChamp.langevinCarreDuChamp_eq_inner`	theorem	existing-notes
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LangevinCarreDuChamp.langevinCarreDuChamp_self_eq_norm_sq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LangevinGenerator.CompactlySupportedC2`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LangevinGenerator.operator`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LangevinGenerator.CoreContract`	structure	existing-notes
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LangevinGenerator.integral_operator_normalizedGibbs_eq_zero_on_compactlySupportedC2`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LangevinGenerator.isInvariantOn_normalizedGibbs_on_compactlySupportedC2`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LangevinKLDissipation.kl_hasDerivAt_eq_neg_information`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LocalProgressiveL2.LocalProgressiveL2Integrand`	structure	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LocalProgressiveL2.squaredExtensionAt`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LocalProgressiveL2.squaredExtensionAt_stronglyMeasurable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LocalProgressiveL2.squaredExtensionAt_apply_of_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LocalProgressiveL2.squaredExtensionAt_apply_of_not_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LocalProgressiveL2.accumulatedEnergyReal`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LocalProgressiveL2.accumulatedEnergyReal_stronglyMeasurable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.LocalProgressiveL2.accumulatedEnergyReal_stronglyMeasurable_ambient`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Localization.nnrealLebesgue`	abbrev	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Localization.stoppedIntegrand`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Localization.IsLocalizingSequence`	def	existing-notes
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Localization.IsLocalMartingale`	def	existing-notes
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.MarkovSemigroup.evolveMeasure`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.MarkovSemigroup.evolveMeasure_add`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.MarkovSemigroup.isProbabilityMeasure_evolveMeasure`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.MarkovSemigroup.lintegral_markovOperator_eq_lintegral_evolveMeasure`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.MarkovSemigroup.IsStationary`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.MarkovSemigroup.isStationary_iff`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.MarkovSemigroup.isStationary_iff_kernel_invariant`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.MarkovSemigroup.isStationary_of_kernel_reversible`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.MarkovSemigroup.IsStationary.lintegral_markovOperator_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.MarkovSemigroup.isStationary_of_lintegral_markovOperator_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.MarkovSemigroup.isStationary_iff_lintegral_markovOperator_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.MarkovSemigroup.IsStationary.evolveMeasure_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.MarkovSemigroup.IsStationary.after`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.MarkovSemigroup.TransitionKernelContract`	structure	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.MarkovSemigroup.MeasurableENNReal`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.MarkovSemigroup.MeasurableENNReal.const`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.MarkovSemigroup.markovOperator`	def	existing-notes
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.MarkovSemigroup.markovOperator_const`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.MarkovSemigroup.markovOperator_apply_mono`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.MarkovSemigroup.markovOperator_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.MarkovSemigroup.markovOperator_comp`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.MarkovSemigroup.markovOperator_comm`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.MarkovSemigroup.chewi_lemma_1_2_2`	theorem	existing-notes
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Martingale.IsChewiMartingale`	def	existing-notes
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Martingale.isChewiMartingale_const`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.OperatorGenerator.ContinuousLinearSemigroup`	structure	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.OperatorGenerator.ContinuousLinearSemigroup.op_add_apply`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.OperatorGenerator.ContinuousLinearSemigroup.op_comm_apply`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.OperatorGenerator.rightDifferenceQuotient`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.OperatorGenerator.HasRightGeneratorAt`	def	existing-notes
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.OperatorGenerator.generatorDomain`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.OperatorGenerator.rightDifferenceQuotient_map`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.OperatorGenerator.HasRightGeneratorAt.map`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.OperatorGenerator.generatorDomain_map`	theorem	existing-notes
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.OperatorGenerator.rightOrbitDifferenceQuotient`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.OperatorGenerator.rightOrbitDifferenceQuotient_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.OperatorGenerator.kolmogorov_backward_right`	theorem	existing-notes
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.OperatorGeneratorDomain.StronglyContinuousSemigroup`	structure	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.OperatorGeneratorDomain.StronglyContinuousSemigroup.tendsto_op_add`	theorem	existing-notes
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.OperatorGeneratorDomain.hasRightGeneratorAt_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.OperatorGeneratorDomain.rightDifferenceQuotient_add`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.OperatorGeneratorDomain.rightDifferenceQuotient_smul`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.OperatorGeneratorDomain.rightDifferenceQuotient_neg`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.OperatorGeneratorDomain.hasRightGeneratorAt_unique`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.OperatorGeneratorDomain.hasRightGeneratorAt_add`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.OperatorGeneratorDomain.hasRightGeneratorAt_smul`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.OperatorGeneratorDomain.hasRightGeneratorAt_neg`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.OperatorGeneratorDomain.hasRightGeneratorAt_sub`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.OperatorGeneratorDomain.generatorDomainSubmodule`	def	existing-notes
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.OperatorGeneratorDomain.rightGeneratorValue`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.OperatorGeneratorDomain.rightGeneratorValue_spec`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.OperatorGeneratorDomain.rightGeneratorValue_add`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.OperatorGeneratorDomain.rightGeneratorValue_smul`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.OperatorGeneratorDomain.rightGenerator`	def	existing-notes
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.OperatorGeneratorDomain.rightGenerator_map`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.OperatorGeneratorDomain.kolmogorov_backward_right_generator`	theorem	existing-notes
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveDriftIntegral.prefixIntegralProcess`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveDriftIntegral.prefixIntegralProcess_eq_fixedHorizon`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveDriftIntegral.prefixIntegralProcess_stronglyProgressive`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2.SatisfiesUsualConditions`	structure	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2.processFunction`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2.ProgressiveL2Integrand`	structure	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2.ProgressiveL2Integrand.toLp`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2.ProgressiveL2Integrand.restrictProcess`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2.ProgressiveL2Integrand.restrictProcess_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2.ProgressiveL2Integrand.restrictProcess_nested`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2.ProgressiveL2Integrand.restrictProcess_progressive`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2.ProgressiveL2Integrand.processFunction_restrictProcess`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2.ProgressiveL2Integrand.restrictProcess_memLp`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2.ProgressiveL2Integrand.restrictAt`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2.ProgressiveL2Integrand.restrictAt_process`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2.ProgressiveL2Integrand.restrictAt_zero_process`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2.ProgressiveL2Integrand.restrictAt_zero_toLp`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2.ProgressiveL2Integrand.restrictAt_nested_process`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2.ProgressiveL2Integrand.norm_restrictAt_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Algebra.zero`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Algebra.add`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Algebra.neg`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Algebra.sub`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Algebra.smul`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Algebra.zero_process`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Algebra.add_process`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Algebra.neg_process`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Algebra.sub_process`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Algebra.smul_process`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Algebra.toLp_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Algebra.toLp_add`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Algebra.toLp_neg`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Algebra.toLp_sub`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Algebra.toLp_smul`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Algebra.toLp_restrictAt_sub`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Algebra.toLp_restrictAt_add`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Algebra.toLp_restrictAt_smul`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Algebra.toLp_restrictAt_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Algebra.norm_restrictAt_sub_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Algebra.restrictAt_toLp_eq_of_toLp_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Density.fastTolerance`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Density.fastTolerance_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Density.fastTolerance_pos`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Density.fastTolerance_tendsto_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Density.summable_fastTolerance`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Density.summable_scaled_fastTolerance_sq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Density.eventualThreshold`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Density.eventualThreshold_spec`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Density.strictSelection`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Density.eventualThreshold_le_strictSelection`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Density.strictSelection_spec`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Density.strictMono_strictSelection`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Density.TruncationGood`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Density.eventually_truncationGood`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Density.truncationIndex`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Density.truncationIndex_spec`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Density.truncationIndex_strictMono`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Density.DyadicGood`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Density.eventually_dyadicGood`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Density.dyadicLevel`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Density.dyadicLevel_spec`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Density.dyadicLevel_strictMono`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Density.DyadicElementaryProcess`	structure	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Density.canonicalElementaryApprox`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Density.DyadicElementaryProcess.toLp`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Density.norm_canonicalElementaryApprox_sub_lt`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Density.tendsto_canonicalElementaryApprox_toLp`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Density.progressiveL2_elementary_dense`	theorem	existing-notes
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2HorizonExtension.horizonPrefix`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2HorizonExtension.measurableSet_horizonPrefix`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2HorizonExtension.restrict_processTimeMeasure_horizonPrefix`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2HorizonExtension.processFunction_restrictProcess_eq_indicator`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2HorizonExtension.extendByZero`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2HorizonExtension.extendByZero_process`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2HorizonExtension.norm_extendByZero_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2HorizonExtension.extendByZero_sub_toLp`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2HorizonExtension.norm_extendByZero_sub_extendByZero_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Stopping.measurableSet_stoppingSet`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Stopping.stoppedIntegrand_stronglyProgressive`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Stopping.stoppedIntegrand_memLp`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Stopping.stop`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Stopping.stop_process`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Stopping.norm_stop_sub_stop_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Stopping.tendsto_stop_toLp_of_tendsto`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Truncation.clipProcess`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Truncation.clipProcess_stronglyProgressive`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Truncation.processFunction_clipProcess`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Truncation.clipProcess_memLp`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Truncation.clipped`	def	existing-notes
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Truncation.clipped_process`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Truncation.clipped_abs_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ProgressiveL2Truncation.tendsto_clipped_toLp`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingBoundary.stopRefined_coeff_eq_zero_of_stoppingValue_eq_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingBoundary.stopRefined_elementaryItoIntegral_eq_zero_of_stoppingValue_eq_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingBoundary.tendsto_stopRefined_elementaryItoIntegral`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingDyadicApprox.IsBoundedNNRealStoppingTime`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingDyadicApprox.stopRefined_coeff_eq_rightCutoff`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingDyadicApprox.stopRefined_elementaryItoIntegral_eq_rightApprox`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingDyadicApprox.tendsto_rightApproxTime_stoppingValue`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingDyadicApprox.tendsto_rightApproxTime_stoppingValue_nhdsWithin`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingDyadicApprox.tendsto_continuousOn_rightApproxTime_stoppingValue`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingGeneralIto.tendsto_stoppedCanonical_toLp`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingGeneralIto.tendsto_stoppedCanonical_terminal`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingGeneralIto.itoIntegralTerminal_stop_ae`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingIntegrandLimit.tendsto_stopRefinedDyadic_value_stoppedIntegrand`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingItoTerminal.tendsto_stopRefinedDyadic_terminalToLp`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingItoTerminal.itoIntegralTerminal_stopped_elementary_ae`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingL2Contraction.stoppingSet`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingL2Contraction.processFunction_stoppedIntegrand_eq_indicator`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingL2Contraction.norm_stopped_sub_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingL2Contraction.norm_stoppedElementary_sub_target_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingL2Contraction.tendsto_stoppedCanonicalApprox_toLp`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingL2Convergence.valueBound_nonneg`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingL2Convergence.abs_stopRefinedDyadic_sub_stoppedIntegrand_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingL2Convergence.tendsto_integral_sq_stopRefinedDyadic_sub`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingL2Convergence.tendsto_stopRefinedDyadic_toLp`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingProcessApprox.stopRefinedDyadic`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingProcessApprox.stopRefinedDyadic_level`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingProcessApprox.stopRefinedDyadic_process`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingProcessApprox.stopRefinedDyadic_value_eq_rightApprox`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingProcessApprox.stopRefinedDyadic_value_eq_zero_of_stoppingValue_eq_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingProcessConsistency.ae_time_ne`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingProcessConsistency.minStoppingValue_isChewiStoppingTime`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingProcessConsistency.restrictAt_stop_toLp_eq_stop_min`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingProcessConsistency.itoIntegralProcess_stop_ae`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingProcessConsistency.itoIntegralProcess_stop_eq_stoppedProcess_ae`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingProcessConsistency.stoppedProcess_coe_apply`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingProcessConsistency.itoIntegralProcess_stop_eq_stoppedProcess_pathwise_ae`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingProgressiveL2.stoppedIntegrand_stronglyProgressive`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingProgressiveL2.stoppedProcessFunction_stronglyMeasurable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingProgressiveL2.abs_stoppedIntegrand_le_valueBound`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingProgressiveL2.abs_stopRefinedDyadic_value_le_valueBound`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingProgressiveL2.stoppedIntegrand_memLp_two`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingProgressiveL2.stoppedProgressiveL2`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.RandomStoppingProgressiveL2.stoppedProgressiveL2_process`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Reversibility.IsReversible`	def	existing-notes
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.Reversibility.isReversible_identity`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ReversibleGenerator.inner_rightDifferenceQuotient_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ReversibleGenerator.inner_rightGenerator_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.SampledElementaryApproximation.regularGridTimes`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.SampledElementaryApproximation.regularGridTimes_strictMono`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.SampledElementaryApproximation.sampledClipped`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.SampledElementaryApproximation.sampledClipped_times`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.SampledElementaryApproximation.sampledClipped_coeff`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.SampledElementaryApproximation.sampledClipped_coeff_abs_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.SampledElementaryApproximation.dyadicMesh`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.SampledElementaryApproximation.dyadicMesh_pos`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.SampledElementaryApproximation.sampledClippedDyadic`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.SampledElementaryApproximation.sampledClippedDyadic_last_time`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.StationarityEquivalence.chewi_proposition_1_2_7_invariant_implies_generator_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.StationarityEquivalence.chewi_proposition_1_2_7_generator_zero_implies_invariant`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.StoppingGraphNull.stoppingGraph`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.StoppingGraphNull.measurableSet_stoppingGraph`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.StoppingGraphNull.timeSection_stoppingGraph_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.StoppingGraphNull.processTimeMeasure_stoppingGraph_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.StoppingGraphNull.ae_notMem_stoppingGraph`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.StoppingGraphNull.ae_time_ne_stoppingTime`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.StoppingTime.IsChewiStoppingTime`	def	existing-notes
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.StoppingTime.isChewiStoppingTime_const`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.StoppingTime.IsChewiStoppingTime.min`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.StoppingTime.IsChewiStoppingTime.min_const`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.StoppingTime.stoppedProcess_stoppedProcess_inf`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.StoppingTime.stoppedProcess_stoppedProcess_of_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.TimeMeasure.nnrealLebesgue`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.TimeMeasure.upTo`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.TimeMeasure.upTo_eq_restrict_nnrealLebesgue`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.TimeMeasure.restrict_upTo_Iio_eq_of_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.TimeMeasure.upTo_univ`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.TimeMeasure.upTo_singleton`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.TimeMeasure.upTo_Ioc`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.TimeMeasure.ae_mem_Ioc_zero_upTo`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.TimeMeasure.restrict_upTo_Ioc_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.TimeMeasure.upTo_Ioi_terminal`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.TimeMeasure.ae_le_terminal`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.TimeMeasure.ae_lt_terminal`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.TimeMeasure.restrict_upTo_Iio_terminal`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.TimeMeasureRealBridge.realZeroExtension`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.TimeMeasureRealBridge.realZeroExtension_measurable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.TimeMeasureRealBridge.realZeroExtension_stronglyMeasurable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.TimeMeasureRealBridge.realZeroExtension_coe`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.TimeMeasureRealBridge.realZeroExtension_eq_zero_of_neg`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.TimeMeasureRealBridge.range_nnreal_coe`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.TimeMeasureRealBridge.map_restrict_upTo_Ioc`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.TimeMeasureRealBridge.integral_upTo_restrict_Ioc_eq_real`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.TimeMeasureRealBridge.ae_restrict_upTo_Ioc_iff_real`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.TimeMeasureRealBridge.ae_prod_restrict_upTo_of_forall_ae`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.TimeMeasureRealBridge.realClippedSection`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.TimeMeasureRealBridge.realClippedSection_coe`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.TimeMeasureRealBridge.realClippedSection_eq_zero_of_neg`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.TimeMeasureRealBridge.realClippedSection_eq_zero_of_T_lt`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.TimeMeasureRealBridge.realClippedSection_abs_le`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.TimeMeasureRealBridge.realClippedSection_stronglyMeasurable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.TimeMeasureRealBridge.realClippedSection_integrable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.TimeMeasureRealBridge.realClippedSection_locallyIntegrable`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.BrownianMotion.IsStandardBrownianMotion.hasIndepIncrements`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.BrownianMotion.IsStandardBrownianMotion.projected_hasIndepIncrements`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.BrownianMotion.IsStandardBrownianMotionWithFiltration`	structure	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.WeakForwardEquation.dualAction`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.WeakForwardEquation.dualAction_apply`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.WeakForwardEquation.dualAction_zero`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.WeakForwardEquation.dualAction_add`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.WeakForwardEquation.rightDualPairingDifferenceQuotient`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.WeakForwardEquation.rightDualPairingDifferenceQuotient_eq`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.WeakForwardEquation.kolmogorov_forward_weak_right`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.WeakGenerator.IsInvariantOn`	def	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.WeakGenerator.IntegratedSemigroupGeneratorContract`	structure	needed
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.WeakGenerator.isInvariantOn_of_integral_generator_eq_zero`	theorem	existing-notes
`AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.WeakGenerator.weakGeneratorFromSampleDerivative`	theorem	existing-notes
`AutoSamplingTheory.TechnicalLemmas.Taylor.hessianOpNormOfSourceHessianField`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Taylor.iteratedFDerivTwoOpNormOfFDerivFDerivOpNorm`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Taylor.stdOrthonormalBasisUnit`	theorem	needed
`AutoSamplingTheory.TechnicalLemmas.Taylor.quadraticVariationNormalizationOfCoeffDefAndVarianceOne`	theorem	needed