Import context: Analysis/Matrix/Sign

Definition

KLSModular_FunctionalInequalities_Analysis_Matrix_Sign

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.Matrix.Sign 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.Analysis.Matrix.Trace.Energy. It also directly imports the external prerequisite modules Mathlib.Analysis.Matrix.Order, Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.Abs, and Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.Rpow.Basic.

Original module imports

import Mathlib.Analysis.Matrix.Order
import FunctionalInequalities.Analysis.Matrix.Trace.Energy
import Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.Abs
import Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.Rpow.Basic

Module navigation

Direct project imports: Analysis/Matrix/Trace/Energy.

Theorems in source order:

Project result: The KLS conjecture.

Original module · FunctionalInequalities.Analysis.Matrix.Sign · Frozen source 408915f.

Definition code

import Mathlib.Analysis.Matrix.Order
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_Matrix_Trace_Energy
import Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.Abs
import Mathlib.Analysis.SpecialFunctions.ContinuousFunctionalCalculus.Rpow.Basic

Source

Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Analysis/Matrix/Sign.lean#L1-L439 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Analysis.Matrix.Sign`, import-context bundle `KLSModular_FunctionalInequalities_Analysis_Matrix_Sign`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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