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Import context: Analysis/WeakDerivative/Calculus

Definition
KLSModular_FunctionalInequalities_Analysis_WeakDerivative_Calculus

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

analysisfunctional-inequalitiesimport-contextklskls-conjecturekls-modularlog-concavemodule-context

This bundle retains the import context of the source module FunctionalInequalities.Analysis.WeakDerivative.Calculus 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.WeakDerivative.Approximation, FunctionalInequalities.Analysis.Cutoff.SmoothBall, FunctionalInequalities.Analysis.WeakDerivative.Basic, FunctionalInequalities.Analysis.WeakDerivative.Mollification, and FunctionalInequalities.Analysis.Cutoff.Profile.

Original module imports

import FunctionalInequalities.Analysis.WeakDerivative.Approximation
import FunctionalInequalities.Analysis.Cutoff.SmoothBall
import FunctionalInequalities.Analysis.WeakDerivative.Basic
import FunctionalInequalities.Analysis.WeakDerivative.Mollification
import FunctionalInequalities.Analysis.Cutoff.Profile

Module navigation

Direct project imports: Analysis/WeakDerivative/Approximation, Analysis/Cutoff/SmoothBall, Analysis/WeakDerivative/Basic, Analysis/WeakDerivative/Mollification, Analysis/Cutoff/Profile.

Theorems in source order:

  • HasWeakDerivAlong.mul_of_memLp_two
  • memLp_mul_of_hasCompactSupport
  • HasWeakDerivAlong.mul_of_locally_memLp_two
  • hasWeakDerivAlong_finsetSum_mul
  • hasWeakDerivAlong_finsetProd_of_locally_memLp_two
  • hasWeakDerivAlong_exp_neg_of_lipschitz
  • HasWeakDerivAlong.mul_of_locally_bounded
  • integral_weakDeriv_mul_eq_swap
  • compact_bounded_test_domination
  • integral_flux_eq_neg_forcing_of_bounded_weak_test
  • HasWeakDerivAlong.compact_mul_data
  • integral_compact_flux_eq_neg_forcing_of_global_bounded_weak_test
  • integral_eq_zero_of_integrable_weak_derivative

Project result: The KLS conjecture.

Original module · FunctionalInequalities.Analysis.WeakDerivative.Calculus · Frozen source 408915f.

Definition code
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_WeakDerivative_Approximation
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_Cutoff_SmoothBall
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_WeakDerivative_Basic
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_WeakDerivative_Mollification
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_Cutoff_Profile

Source
Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Analysis/WeakDerivative/Calculus.lean#L1-L2345 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Analysis.WeakDerivative.Calculus`, import-context bundle `KLSModular_FunctionalInequalities_Analysis_WeakDerivative_Calculus`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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