Samplinglib
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test module

Tests.ChewiItoFormula

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Tests/ChewiItoFormula.lean — full module with imports and context
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import AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ChewiDisplay1_1_18
import AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoFormulaAlgebra

/-!
Focused ABI checks for the first two leaves after Chewi Definition 1.1.17:
display (1.1.18) is tied to the compiled vector integral equation, and the
first/second derivative contractions used by Theorem 1.1.19 are available
without adding stochastic assumptions.
-/

#check AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ChewiDisplay1_1_18.chewi_display_1_1_18_integral_meaning
#check AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoFormulaAlgebra.diffusionColumn
#check AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoFormulaAlgebra.driftGradientTerm_eq_fderiv
#check AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoFormulaAlgebra.diffusionGradientCoefficient_eq_fderiv
#check AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoFormulaAlgebra.driftGradientTerm_eq_sum
#check AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoFormulaAlgebra.diffusionGradientCoefficient_eq_sum
#check AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoFormulaAlgebra.secondDerivativeQuadraticForm_eq_of_hasFDerivAt
#check AutoSamplingTheory.TechnicalLemmas.StochasticProcesses.ItoFormulaAlgebra.diffusionHessianContraction_eq_of_hasFDerivAt