Prove2Me

Import context: Probability/Posterior/Coercive

Definition
KLSModular_FunctionalInequalities_Probability_Posterior_Coercive

by Lazyfill · Oct 25, 2026 · Mathlib 0df444a (Lean v4.33.1)

functional-inequalitiesimport-contextklskls-conjecturekls-modularlog-concavemodule-contextprobability

This bundle retains the import context of the source module FunctionalInequalities.Probability.Posterior.Coercive in the modular KLS dependency graph. It adds no new mathematical declarations. Substantive statements and proofs are represented by separate theorem nodes.

Its direct project prerequisite module is FunctionalInequalities.Probability.Posterior.Exponent. It also directly imports the external prerequisite modules Mathlib.Analysis.SpecialFunctions.ExpDeriv, Mathlib.Analysis.Calculus.ParametricIntegral, Mathlib.Analysis.Calculus.Deriv.Inv, and Mathlib.Probability.Moments.Covariance.

Original module imports

import FunctionalInequalities.Probability.Posterior.Exponent
import Mathlib.Analysis.SpecialFunctions.ExpDeriv
import Mathlib.Analysis.Calculus.ParametricIntegral
import Mathlib.Analysis.Calculus.Deriv.Inv
import Mathlib.Probability.Moments.Covariance

Module navigation

Direct project imports: Probability/Posterior/Exponent.

Project result: The KLS conjecture.

Original module · FunctionalInequalities.Probability.Posterior.Coercive · Frozen source 408915f.

Definition code
import Definitions.Def_KLSModular_FunctionalInequalities_Probability_Posterior_Exponent
import Mathlib.Analysis.SpecialFunctions.ExpDeriv
import Mathlib.Analysis.Calculus.ParametricIntegral
import Mathlib.Analysis.Calculus.Deriv.Inv
import Mathlib.Probability.Moments.Covariance
Source
Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Probability/Posterior/Coercive.lean#L1-L251 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Probability.Posterior.Coercive`, import-context bundle `KLSModular_FunctionalInequalities_Probability_Posterior_Coercive`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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