Import context: Energy/Euclidean/Slope/Density
DefinitionKLSModular_FunctionalInequalities_Energy_Euclidean_Slope_Densityfunctional-inequalitiesimport-contextklskls-conjecturekls-modularlog-concavemodule-context
This bundle retains the import context of the source module FunctionalInequalities.Energy.Euclidean.Slope.Density 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.Energy.Euclidean.Slope.Recovery.
Original module imports
import FunctionalInequalities.Energy.Euclidean.Slope.Recovery
Module navigation
Direct project imports: Energy/Euclidean/Slope/Recovery.
Theorems in source order:
lowerSemicontinuous_secantexists_thickening_pairwise_disjointexists_patch_of_isCompactexists_partitionexists_patchrelaxation_le_localSlope_of_lipschitzWithsq_add_le_mul_sq_addrelaxation_le_localSlope_of_admissible
Project result: The KLS conjecture.
Original module · FunctionalInequalities.Energy.Euclidean.Slope.Density · Frozen source 408915f.
Definition code
import Definitions.Def_KLSModular_FunctionalInequalities_Energy_Euclidean_Slope_Recovery
Source
Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Energy/Euclidean/Slope/Density.lean#L1-L1202 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Energy.Euclidean.Slope.Density`, import-context bundle `KLSModular_FunctionalInequalities_Energy_Euclidean_Slope_Density`). The line range identifies the complete original source module; this bundle preserves only its direct import context.