Prove2Me

Import context: Analysis/Matrix/Trace/Algebra

Definition
KLSModular_FunctionalInequalities_Analysis_Matrix_Trace_Algebra

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.Trace.Algebra in the modular KLS dependency graph. It adds no new mathematical declarations. Substantive statements and proofs are represented by separate theorem nodes.

It also directly imports the external prerequisite modules Mathlib.Data.Real.Basic, Mathlib.LinearAlgebra.Matrix.Symmetric, Mathlib.LinearAlgebra.Matrix.Trace, Mathlib.Algebra.Order.Chebyshev, Mathlib.Algebra.BigOperators.Group.Finset.Sigma, Mathlib.Tactic.NoncommRing, Mathlib.Tactic.Positivity, and Mathlib.Tactic.Linarith.

Original module imports

import Mathlib.Data.Real.Basic
import Mathlib.LinearAlgebra.Matrix.Symmetric
import Mathlib.LinearAlgebra.Matrix.Trace
import Mathlib.Algebra.Order.Chebyshev
import Mathlib.Algebra.BigOperators.Group.Finset.Sigma
import Mathlib.Tactic.NoncommRing
import Mathlib.Tactic.Positivity
import Mathlib.Tactic.Linarith

Module navigation

Theorems in source order:

Project result: The KLS conjecture.

Original module · FunctionalInequalities.Analysis.Matrix.Trace.Algebra · Frozen source 408915f.

Definition code
import Mathlib.Data.Real.Basic
import Mathlib.LinearAlgebra.Matrix.Symmetric
import Mathlib.LinearAlgebra.Matrix.Trace
import Mathlib.Algebra.Order.Chebyshev
import Mathlib.Algebra.BigOperators.Group.Finset.Sigma
import Mathlib.Tactic.NoncommRing
import Mathlib.Tactic.Positivity
import Mathlib.Tactic.Linarith
Source
Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Analysis/Matrix/Trace/Algebra.lean#L1-L233 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Analysis.Matrix.Trace.Algebra`, import-context bundle `KLSModular_FunctionalInequalities_Analysis_Matrix_Trace_Algebra`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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