Import context: Analysis/BakryEmery/Curvature
DefinitionKLSModular_FunctionalInequalities_Analysis_BakryEmery_Curvatureanalysisfunctional-inequalitiesimport-contextklskls-conjecturekls-modularlog-concavemodule-context
This bundle retains the import context of the source module FunctionalInequalities.Analysis.BakryEmery.Curvature 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.Analysis.BakryEmery.Bochner.Basic and FunctionalInequalities.Analysis.BakryEmery.IntegrationByParts.Basic.
Original module imports
import FunctionalInequalities.Analysis.BakryEmery.Bochner.Basic
import FunctionalInequalities.Analysis.BakryEmery.IntegrationByParts.Basic
Module navigation
Direct project imports: Analysis/BakryEmery/Bochner/Basic, Analysis/BakryEmery/IntegrationByParts/Basic.
Theorems in source order:
convexOn_of_hessian_geintegrable_weightedLaplacian_gammaintegrable_gamma_weightedLaplacianintegral_gamma_weightedLaplacian_eqmul_integral_gamma_le
Project result: The KLS conjecture.
Original module · FunctionalInequalities.Analysis.BakryEmery.Curvature · Frozen source 408915f.
Definition code
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_BakryEmery_Bochner_Basic import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_BakryEmery_IntegrationByParts_Basic
Source
Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Analysis/BakryEmery/Curvature.lean#L1-L385 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Analysis.BakryEmery.Curvature`, import-context bundle `KLSModular_FunctionalInequalities_Analysis_BakryEmery_Curvature`). The line range identifies the complete original source module; this bundle preserves only its direct import context.