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Import context: KLS/LogConcave/HminusOne

Definition
KLSModular_FunctionalInequalities_KLS_LogConcave_HminusOne

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

functional-inequalitiesimport-contextklskls-conjecturekls-modularlog-concavemodule-context

This bundle retains the import context of the source module FunctionalInequalities.KLS.LogConcave.HminusOne 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 modules are FunctionalInequalities.KLS.LogConcave.HeatSemigroup.Range, FunctionalInequalities.Analysis.BakryEmery.Curvature, FunctionalInequalities.Analysis.BakryEmery.Bochner.Basic, and FunctionalInequalities.KLS.LogConcave.BrascampLieb.

Original module imports

import FunctionalInequalities.KLS.LogConcave.HeatSemigroup.Range
import FunctionalInequalities.Analysis.BakryEmery.Curvature
import FunctionalInequalities.Analysis.BakryEmery.Bochner.Basic
import FunctionalInequalities.KLS.LogConcave.BrascampLieb

Module navigation

Direct project imports: KLS/LogConcave/HeatSemigroup/Range, Analysis/BakryEmery/Curvature, Analysis/BakryEmery/Bochner/Basic, KLS/LogConcave/BrascampLieb.

Theorems in source order:

  • nonneg_of_forall_sq_integral_le_mul_integral_norm_fderiv_sq
  • sum_integral_norm_fderiv_partial_sq_le_integral_weightedLaplacian_sq
  • variance_le_sum_of_partial_dual_bounds

Project result: The KLS conjecture.

Original module · FunctionalInequalities.KLS.LogConcave.HminusOne · Frozen source 408915f.

Definition code
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_LogConcave_HeatSemigroup_Range
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_BakryEmery_Curvature
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_BakryEmery_Bochner_Basic
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_LogConcave_BrascampLieb

Source
Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/KLS/LogConcave/HminusOne.lean#L1-L635 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.KLS.LogConcave.HminusOne`, import-context bundle `KLSModular_FunctionalInequalities_KLS_LogConcave_HminusOne`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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