Samplinglib
Lean gate not recorded for this source state main · 0e31a3cda412

AutoSamplingTheory.SALD.cycle85GeneralMovingTargetDiscreteConditionalKernelBoundaryDag

Data definition / provenance and workflow record

Meaning and type

The result has data type List AutoSamplingTheory.ProofDagBlock. A value of this type stores descriptions; it is not a proof of the statements in those descriptions.

Lean statement of this data definition

The part after the colon is the output data type. This declaration takes no mathematical proof inputs.

def cycle85GeneralMovingTargetDiscreteConditionalKernelBoundaryDag :
    List ProofDagBlock

Construction and field-by-field explanation

Construct an ordered list of the following data items. It is not a logical conjunction or proof DAG.

This Lean definition constructs provenance or workflow data. It does not prove the mathematical statements stored as text. Status labels, named dependencies and citations are data, not compilation, proof or source certificates.

Ordered data items

  1. id : String (explicit)

    Stable plan-node identifier.

    ASTIS.SALD.cycle85.global_phase_judgment
    interface : String (explicit)

    Text describing intended mathematical interface.

    Cycle 85 judgment: cycle 84 passed and needs no recovery; Phase 1 theorem-skeleton translation is stable enough for cited-theory backfill; the largest remaining proof risk is the conditional-kernel/conditional-expectation theorem boundary for sald.general_moving_target_discrete.em_interpolation_fp over appendix.tex:1358-1387, narrowed to appendix.tex:1368-1377.
    source : AutoSamplingTheory.SourceAnchor (explicit)

    Source pointer.

    AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteConditionalDriftSource — audited data reference, not expanded and not a compiled dependency edge
    targetLean : String (explicit)

    Textual planned implementation destination.

    AutoSamplingTheory/SALD.lean
    dependsOn : List String (explicit)

    Declared input names as strings, default empty.

    Ordered data items

    1. SALD.cycle85GeneralMovingTargetDiscreteConditionalKernelBoundaryUpperObligation
    2. SALD.cycle84GeneralMovingTargetDiscreteActiveEmBackendLowerObligation
    3. SALD.cycle80GeneralMovingTargetDiscreteConditionalLawMeasurabilityLowerObligation
    4. sald.general_moving_target_discrete.em_interpolation_fp
    reusedBy : List String (explicit)

    Declared consumers as strings, default empty.

    Ordered data items

    1. thm:forward-KL-discrete
    2. thm:general-moving-target-SALD-discrete
    3. sald.general_moving_target_discrete.em_interpolation_fp
    status : AutoSamplingTheory.ProofStatus (explicit)

    Recorded workflow status, default planned.

    AutoSamplingTheory.ProofStatus.obligation — stored label only; no proof certification
  2. id : String (explicit)

    Stable plan-node identifier.

    ASTIS.SALD.cycle85.active_em_backend_check
    interface : String (explicit)

    Text describing intended mathematical interface.

    Active packet check before assigning lower work: no reviewer blocker moved the target away from sald.general_moving_target_discrete.em_interpolation_fp over appendix.tex:1358-1387; the current sub-slice is the conditional-kernel and conditional-expectation construction of bar b_{k,s} at appendix.tex:1368-1377.
    source : AutoSamplingTheory.SourceAnchor (explicit)

    Source pointer.

    AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteConditionalDriftSource — audited data reference, not expanded and not a compiled dependency edge
    targetLean : String (explicit)

    Textual planned implementation destination.

    AutoSamplingTheory/SALD.lean
    dependsOn : List String (explicit)

    Declared input names as strings, default empty.

    Ordered data items

    1. SALD.cycle85GeneralMovingTargetDiscreteConditionalKernelBoundaryUpperPacket
    2. SALD.cycle84GeneralMovingTargetDiscreteActiveEmBackendUpperObligation
    3. SALD.cycle84GeneralMovingTargetDiscreteActiveEmBackendLowerObligation
    4. sald.general_moving_target_discrete.em_interpolation_fp
    reusedBy : List String (explicit)

    Declared consumers as strings, default empty.

    Ordered data items

    1. thm:forward-KL-discrete
    2. thm:general-moving-target-SALD-discrete
    status : AutoSamplingTheory.ProofStatus (explicit)

    Recorded workflow status, default planned.

    AutoSamplingTheory.ProofStatus.obligation — stored label only; no proof certification
  3. id : String (explicit)

    Stable plan-node identifier.

    ASTIS.SALD.cycle85.lower_packet.conditional_kernel_theorem_boundary
    interface : String (explicit)

    Text describing intended mathematical interface.

    Selected lower packet: prove or sharply narrow the Mathlib condDistrib/condExpKernel orientation for X_k^eta | hat X_s=x, named marginal hat rho_s=Law(hat X_s), component conditional-integral fields, and measurable/integrable bar b_{k,s}; classify accepted proof progress as discharges-supplied-hypothesis.
    source : AutoSamplingTheory.SourceAnchor (explicit)

    Source pointer.

    AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteConditionalKernelMathlibSource — audited data reference, not expanded and not a compiled dependency edge
    targetLean : String (explicit)

    Textual planned implementation destination.

    AutoSamplingTheory/SALD.lean
    dependsOn : List String (explicit)

    Declared input names as strings, default empty.

    Ordered data items

    1. SALD.cycle85GeneralMovingTargetDiscreteConditionalKernelBoundaryUpperObligation
    2. SALD.cycle74GeneralMovingTargetDiscreteConditionalKernelMeasureInterface
    3. SALD.cycle75GeneralMovingTargetDiscreteConditionalLawBackfillLowerObligation
    4. SALD.cycle80GeneralMovingTargetDiscreteConditionalLawMeasurabilityLowerObligation
    5. SALD.generalMovingTargetDiscreteConditionalKernelRegularityOfComponents
    6. SALD.generalMovingTargetDiscreteConditionalKernelRegularityOfSwappedComponents
    7. SALD.generalMovingTargetDiscreteEndpointConditionalDriftRegularityHandoff
    8. Mathlib.Probability.Kernel.Condexp
    9. Mathlib.Probability.Kernel.CondDistrib
    reusedBy : List String (explicit)

    Declared consumers as strings, default empty.

    Ordered data items

    1. sald.general_moving_target_discrete.em_interpolation_fp
    2. sald.discrete_forward_kl.em_interpolation_fp
    3. thm:forward-KL-discrete
    4. thm:general-moving-target-SALD-discrete
    status : AutoSamplingTheory.ProofStatus (explicit)

    Recorded workflow status, default planned.

    AutoSamplingTheory.ProofStatus.obligation — stored label only; no proof certification
  4. id : String (explicit)

    Stable plan-node identifier.

    ASTIS.SALD.cycle85.middle_condDistrib_condExpKernel_boundary
    interface : String (explicit)

    Text describing intended mathematical interface.

    Middle narrowed boundary: local helpers compile the Mathlib condDistrib-to-condExpKernel.map orientation and vector-valued conditional-integral measurability/integrability. Remaining lower theorem: convert these sample-space a.e. facts, together with hatRhoS=Law(hatX_s), into named hat-rho_s-a.e. component fields condC_{k,s}, condScore_{k,s} consumed by the existing bar b_{k,s} wrappers.
    source : AutoSamplingTheory.SourceAnchor (explicit)

    Source pointer.

    AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteConditionalKernelMathlibSource — audited data reference, not expanded and not a compiled dependency edge
    targetLean : String (explicit)

    Textual planned implementation destination.

    AutoSamplingTheory/Probability.lean
    dependsOn : List String (explicit)

    Declared input names as strings, default empty.

    Ordered data items

    1. SALD.cycle85GeneralMovingTargetDiscreteConditionalKernelBoundaryMiddleObligation
    2. AutoSamplingTheory.condDistribAeEqCondExpKernelMap
    3. AutoSamplingTheory.condDistribIntegralAEStronglyMeasurable
    4. AutoSamplingTheory.condDistribIntegralIntegrable
    5. ProbabilityTheory.condDistrib_apply_ae_eq_condExpKernel_map
    6. MeasureTheory.AEStronglyMeasurable.integral_condDistrib
    7. MeasureTheory.Integrable.integral_condDistrib
    reusedBy : List String (explicit)

    Declared consumers as strings, default empty.

    Ordered data items

    1. sald.general_moving_target_discrete.em_interpolation_fp
    2. sald.discrete_forward_kl.em_interpolation_fp
    3. thm:forward-KL-discrete
    4. thm:general-moving-target-SALD-discrete
    status : AutoSamplingTheory.ProofStatus (explicit)

    Recorded workflow status, default planned.

    AutoSamplingTheory.ProofStatus.formalized — stored label only; no proof certification
  5. id : String (explicit)

    Stable plan-node identifier.

    ASTIS.SALD.cycle85.lower_conditional_integral_named_field_regularity
    interface : String (explicit)

    Text describing intended mathematical interface.

    Lower discharges the component regularity sub-hypothesis: for any named condC_{k,s} or condScore_{k,s} that is hatRhoS-a.e. equal to the canonical condDistrib integral, Mathlib's law-space conditional-integral lemmas give AEStronglyMeasurable and Integrable under hatRhoS=Law(hatX_s). Remaining work is the SALD-specific version equality and kernel compatibility/disintegration, not generic law-space regularity.
    source : AutoSamplingTheory.SourceAnchor (explicit)

    Source pointer.

    AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteConditionalKernelMathlibSource — audited data reference, not expanded and not a compiled dependency edge
    targetLean : String (explicit)

    Textual planned implementation destination.

    AutoSamplingTheory/Probability.lean
    dependsOn : List String (explicit)

    Declared input names as strings, default empty.

    Ordered data items

    1. SALD.cycle85GeneralMovingTargetDiscreteConditionalKernelBoundaryLowerObligation
    2. AutoSamplingTheory.condDistribIntegralMapAEStronglyMeasurable
    3. AutoSamplingTheory.condDistribIntegralMapIntegrable
    4. AutoSamplingTheory.condDistribIntegralNamedLawAEStronglyMeasurable
    5. AutoSamplingTheory.condDistribIntegralNamedLawIntegrable
    6. AutoSamplingTheory.condDistribIntegralNamedFieldRegularity
    7. MeasureTheory.AEStronglyMeasurable.integral_condDistrib_map
    8. MeasureTheory.Integrable.integral_condDistrib_map
    reusedBy : List String (explicit)

    Declared consumers as strings, default empty.

    Ordered data items

    1. sald.general_moving_target_discrete.em_interpolation_fp
    2. sald.discrete_forward_kl.em_interpolation_fp
    3. thm:forward-KL-discrete
    4. thm:general-moving-target-SALD-discrete
    status : AutoSamplingTheory.ProofStatus (explicit)

    Recorded workflow status, default planned.

    AutoSamplingTheory.ProofStatus.formalized — stored label only; no proof certification
  6. id : String (explicit)

    Stable plan-node identifier.

    ASTIS.SALD.cycle85.missing_mathlib_theorem_record
    interface : String (explicit)

    Text describing intended mathematical interface.

    Remaining narrowed theorem: after the local condDistrib/condExpKernel orientation and law-space component regularity helpers compile, prove the SALD-specific version theorem giving hatRhoS-a.e. equality of condC_{k,s} and condScore_{k,s} with the canonical condDistrib integrals, plus the conditional-kernel compatibility/disintegration bridge. The generic component-field regularity sub-hypothesis is no longer the blocker.
    source : AutoSamplingTheory.SourceAnchor (explicit)

    Source pointer.

    AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteConditionalKernelMathlibSource — audited data reference, not expanded and not a compiled dependency edge
    targetLean : String (explicit)

    Textual planned implementation destination.

    AutoSamplingTheory/SALD.lean
    dependsOn : List String (explicit)

    Declared input names as strings, default empty.

    Ordered data items

    1. SALD.cycle85GeneralMovingTargetDiscreteConditionalKernelBoundaryMiddleObligation
    2. SALD.cycle85GeneralMovingTargetDiscreteConditionalKernelBoundaryLowerObligation
    3. AutoSamplingTheory.condDistribAeEqCondExpKernelMap
    4. AutoSamplingTheory.condDistribIntegralAEStronglyMeasurable
    5. AutoSamplingTheory.condDistribIntegralIntegrable
    6. AutoSamplingTheory.condDistribIntegralNamedFieldRegularity
    7. Mathlib.Probability.Kernel.Condexp
    8. Mathlib.Probability.Kernel.CondDistrib
    9. SALD.cycle74GeneralMovingTargetDiscreteConditionalKernelMeasureInterface
    10. sald.general_moving_target_discrete.em_interpolation_fp
    reusedBy : List String (explicit)

    Declared consumers as strings, default empty.

    Ordered data items

    1. sald.general_moving_target_discrete.em_interpolation_fp
    2. thm:forward-KL-discrete
    3. thm:general-moving-target-SALD-discrete
    status : AutoSamplingTheory.ProofStatus (explicit)

    Recorded workflow status, default planned.

    AutoSamplingTheory.ProofStatus.obligation — stored label only; no proof certification
  7. id : String (explicit)

    Stable plan-node identifier.

    ASTIS.SALD.cycle85.reviewer_conditional_kernel_boundary_check
    interface : String (explicit)

    Text describing intended mathematical interface.

    Reviewer check: reject supplied-hypothesis wrapper churn, hidden theorem closure, theorem-status promotion, SLT/Lake dependency change, wrong conditional-kernel orientation, missing hat rho_s marginal, or drift away from appendix.tex:1368-1377.
    source : AutoSamplingTheory.SourceAnchor (explicit)

    Source pointer.

    AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteConditionalDriftSource — audited data reference, not expanded and not a compiled dependency edge
    targetLean : String (explicit)

    Textual planned implementation destination.

    AutoSamplingTheory/SALD.lean
    dependsOn : List String (explicit)

    Declared input names as strings, default empty.

    Ordered data items

    1. SALD.cycle85GeneralMovingTargetDiscreteConditionalKernelBoundaryUpperObligation
    2. SALD.cycle84GeneralMovingTargetDiscreteActiveEmBackendLowerObligation
    3. SALD.cycle80GeneralMovingTargetDiscreteConditionalLawMeasurabilityLowerObligation
    4. sald.general_moving_target_discrete.em_interpolation_fp
    reusedBy : List String (explicit)

    Declared consumers as strings, default empty.

    Ordered data items

    1. thm:forward-KL-discrete
    2. thm:general-moving-target-SALD-discrete
    status : AutoSamplingTheory.ProofStatus (explicit)

    Recorded workflow status, default planned.

    AutoSamplingTheory.ProofStatus.obligation — stored label only; no proof certification
Exact Lean data construction

Each field assignment stores the corresponding value shown above. Omitted fields use the explicitly identified schema defaults. Strings that name theorems remain strings; they do not call those theorems.

def cycle85GeneralMovingTargetDiscreteConditionalKernelBoundaryDag :
    List ProofDagBlock :=
  [
    {
      id := "ASTIS.SALD.cycle85.global_phase_judgment"
      interface := "Cycle 85 judgment: cycle 84 passed and needs no recovery; Phase 1 theorem-skeleton translation is stable enough for cited-theory backfill; the largest remaining proof risk is the conditional-kernel/conditional-expectation theorem boundary for sald.general_moving_target_discrete.em_interpolation_fp over appendix.tex:1358-1387, narrowed to appendix.tex:1368-1377."
      source := saldGeneralMovingTargetDiscreteConditionalDriftSource
      targetLean := "AutoSamplingTheory/SALD.lean"
      dependsOn := [
        "SALD.cycle85GeneralMovingTargetDiscreteConditionalKernelBoundaryUpperObligation",
        "SALD.cycle84GeneralMovingTargetDiscreteActiveEmBackendLowerObligation",
        "SALD.cycle80GeneralMovingTargetDiscreteConditionalLawMeasurabilityLowerObligation",
        "sald.general_moving_target_discrete.em_interpolation_fp"
      ]
      reusedBy := [
        "thm:forward-KL-discrete",
        "thm:general-moving-target-SALD-discrete",
        "sald.general_moving_target_discrete.em_interpolation_fp"
      ]
      status := ProofStatus.obligation
    },
    {
      id := "ASTIS.SALD.cycle85.active_em_backend_check"
      interface := "Active packet check before assigning lower work: no reviewer blocker moved the target away from sald.general_moving_target_discrete.em_interpolation_fp over appendix.tex:1358-1387; the current sub-slice is the conditional-kernel and conditional-expectation construction of bar b_{k,s} at appendix.tex:1368-1377."
      source := saldGeneralMovingTargetDiscreteConditionalDriftSource
      targetLean := "AutoSamplingTheory/SALD.lean"
      dependsOn := [
        "SALD.cycle85GeneralMovingTargetDiscreteConditionalKernelBoundaryUpperPacket",
        "SALD.cycle84GeneralMovingTargetDiscreteActiveEmBackendUpperObligation",
        "SALD.cycle84GeneralMovingTargetDiscreteActiveEmBackendLowerObligation",
        "sald.general_moving_target_discrete.em_interpolation_fp"
      ]
      reusedBy := [
        "thm:forward-KL-discrete",
        "thm:general-moving-target-SALD-discrete"
      ]
      status := ProofStatus.obligation
    },
    {
      id := "ASTIS.SALD.cycle85.lower_packet.conditional_kernel_theorem_boundary"
      interface := "Selected lower packet: prove or sharply narrow the Mathlib condDistrib/condExpKernel orientation for X_k^eta | hat X_s=x, named marginal hat rho_s=Law(hat X_s), component conditional-integral fields, and measurable/integrable bar b_{k,s}; classify accepted proof progress as discharges-supplied-hypothesis."
      source := saldGeneralMovingTargetDiscreteConditionalKernelMathlibSource
      targetLean := "AutoSamplingTheory/SALD.lean"
      dependsOn := [
        "SALD.cycle85GeneralMovingTargetDiscreteConditionalKernelBoundaryUpperObligation",
        "SALD.cycle74GeneralMovingTargetDiscreteConditionalKernelMeasureInterface",
        "SALD.cycle75GeneralMovingTargetDiscreteConditionalLawBackfillLowerObligation",
        "SALD.cycle80GeneralMovingTargetDiscreteConditionalLawMeasurabilityLowerObligation",
        "SALD.generalMovingTargetDiscreteConditionalKernelRegularityOfComponents",
        "SALD.generalMovingTargetDiscreteConditionalKernelRegularityOfSwappedComponents",
        "SALD.generalMovingTargetDiscreteEndpointConditionalDriftRegularityHandoff",
        "Mathlib.Probability.Kernel.Condexp",
        "Mathlib.Probability.Kernel.CondDistrib"
      ]
      reusedBy := [
        "sald.general_moving_target_discrete.em_interpolation_fp",
        "sald.discrete_forward_kl.em_interpolation_fp",
        "thm:forward-KL-discrete",
        "thm:general-moving-target-SALD-discrete"
      ]
      status := ProofStatus.obligation
    },
    {
      id := "ASTIS.SALD.cycle85.middle_condDistrib_condExpKernel_boundary"
      interface := "Middle narrowed boundary: local helpers compile the Mathlib condDistrib-to-condExpKernel.map orientation and vector-valued conditional-integral measurability/integrability. Remaining lower theorem: convert these sample-space a.e. facts, together with hatRhoS=Law(hatX_s), into named hat-rho_s-a.e. component fields condC_{k,s}, condScore_{k,s} consumed by the existing bar b_{k,s} wrappers."
      source := saldGeneralMovingTargetDiscreteConditionalKernelMathlibSource
      targetLean := "AutoSamplingTheory/Probability.lean"
      dependsOn := [
        "SALD.cycle85GeneralMovingTargetDiscreteConditionalKernelBoundaryMiddleObligation",
        "AutoSamplingTheory.condDistribAeEqCondExpKernelMap",
        "AutoSamplingTheory.condDistribIntegralAEStronglyMeasurable",
        "AutoSamplingTheory.condDistribIntegralIntegrable",
        "ProbabilityTheory.condDistrib_apply_ae_eq_condExpKernel_map",
        "MeasureTheory.AEStronglyMeasurable.integral_condDistrib",
        "MeasureTheory.Integrable.integral_condDistrib"
      ]
      reusedBy := [
        "sald.general_moving_target_discrete.em_interpolation_fp",
        "sald.discrete_forward_kl.em_interpolation_fp",
        "thm:forward-KL-discrete",
        "thm:general-moving-target-SALD-discrete"
      ]
      status := ProofStatus.formalized
    },
    {
      id := "ASTIS.SALD.cycle85.lower_conditional_integral_named_field_regularity"
      interface := "Lower discharges the component regularity sub-hypothesis: for any named condC_{k,s} or condScore_{k,s} that is hatRhoS-a.e. equal to the canonical condDistrib integral, Mathlib's law-space conditional-integral lemmas give AEStronglyMeasurable and Integrable under hatRhoS=Law(hatX_s). Remaining work is the SALD-specific version equality and kernel compatibility/disintegration, not generic law-space regularity."
      source := saldGeneralMovingTargetDiscreteConditionalKernelMathlibSource
      targetLean := "AutoSamplingTheory/Probability.lean"
      dependsOn := [
        "SALD.cycle85GeneralMovingTargetDiscreteConditionalKernelBoundaryLowerObligation",
        "AutoSamplingTheory.condDistribIntegralMapAEStronglyMeasurable",
        "AutoSamplingTheory.condDistribIntegralMapIntegrable",
        "AutoSamplingTheory.condDistribIntegralNamedLawAEStronglyMeasurable",
        "AutoSamplingTheory.condDistribIntegralNamedLawIntegrable",
        "AutoSamplingTheory.condDistribIntegralNamedFieldRegularity",
        "MeasureTheory.AEStronglyMeasurable.integral_condDistrib_map",
        "MeasureTheory.Integrable.integral_condDistrib_map"
      ]
      reusedBy := [
        "sald.general_moving_target_discrete.em_interpolation_fp",
        "sald.discrete_forward_kl.em_interpolation_fp",
        "thm:forward-KL-discrete",
        "thm:general-moving-target-SALD-discrete"
      ]
      status := ProofStatus.formalized
    },
    {
      id := "ASTIS.SALD.cycle85.missing_mathlib_theorem_record"
      interface := "Remaining narrowed theorem: after the local condDistrib/condExpKernel orientation and law-space component regularity helpers compile, prove the SALD-specific version theorem giving hatRhoS-a.e. equality of condC_{k,s} and condScore_{k,s} with the canonical condDistrib integrals, plus the conditional-kernel compatibility/disintegration bridge. The generic component-field regularity sub-hypothesis is no longer the blocker."
      source := saldGeneralMovingTargetDiscreteConditionalKernelMathlibSource
      targetLean := "AutoSamplingTheory/SALD.lean"
      dependsOn := [
        "SALD.cycle85GeneralMovingTargetDiscreteConditionalKernelBoundaryMiddleObligation",
        "SALD.cycle85GeneralMovingTargetDiscreteConditionalKernelBoundaryLowerObligation",
        "AutoSamplingTheory.condDistribAeEqCondExpKernelMap",
        "AutoSamplingTheory.condDistribIntegralAEStronglyMeasurable",
        "AutoSamplingTheory.condDistribIntegralIntegrable",
        "AutoSamplingTheory.condDistribIntegralNamedFieldRegularity",
        "Mathlib.Probability.Kernel.Condexp",
        "Mathlib.Probability.Kernel.CondDistrib",
        "SALD.cycle74GeneralMovingTargetDiscreteConditionalKernelMeasureInterface",
        "sald.general_moving_target_discrete.em_interpolation_fp"
      ]
      reusedBy := [
        "sald.general_moving_target_discrete.em_interpolation_fp",
        "thm:forward-KL-discrete",
        "thm:general-moving-target-SALD-discrete"
      ]
      status := ProofStatus.obligation
    },
    {
      id := "ASTIS.SALD.cycle85.reviewer_conditional_kernel_boundary_check"
      interface := "Reviewer check: reject supplied-hypothesis wrapper churn, hidden theorem closure, theorem-status promotion, SLT/Lake dependency change, wrong conditional-kernel orientation, missing hat rho_s marginal, or drift away from appendix.tex:1368-1377."
      source := saldGeneralMovingTargetDiscreteConditionalDriftSource
      targetLean := "AutoSamplingTheory/SALD.lean"
      dependsOn := [
        "SALD.cycle85GeneralMovingTargetDiscreteConditionalKernelBoundaryUpperObligation",
        "SALD.cycle84GeneralMovingTargetDiscreteActiveEmBackendLowerObligation",
        "SALD.cycle80GeneralMovingTargetDiscreteConditionalLawMeasurabilityLowerObligation",
        "sald.general_moving_target_discrete.em_interpolation_fp"
      ]
      reusedBy := [
        "thm:forward-KL-discrete",
        "thm:general-moving-target-SALD-discrete"
      ]
      status := ProofStatus.obligation
    }
  ]

/-- Cycle-86 upper packet returning to the generator-to-law weak FP boundary.

Cycle 85 discharged the generic named-field regularity part of the conditional
law backend under explicit Mathlib hypotheses.  The next lower packet should use
that progress as a dependency and reduce the generator/time-derivative supplied
hypothesis behind the weak Fokker-Planck statement, rather than adding another
wrapper around the same assumptions.
-/

Existing module entry · Audited data-reader index · All teaching coverage