Import context: Analysis/Matrix/Trace/Energy

Definition

KLSModular_FunctionalInequalities_Analysis_Matrix_Trace_Energy

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.Energy 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.Power. It also directly imports the external prerequisite modules Mathlib.Analysis.Matrix.HermitianFunctionalCalculus, Mathlib.Analysis.Matrix.PosDef, Mathlib.Analysis.SpecialFunctions.Pow.Real, Mathlib.Algebra.Order.Chebyshev, Mathlib.Analysis.Matrix.Order, and Mathlib.Tactic.NoncommRing.

Original module imports

import Mathlib.Analysis.Matrix.HermitianFunctionalCalculus
import Mathlib.Analysis.Matrix.PosDef
import Mathlib.Analysis.SpecialFunctions.Pow.Real
import Mathlib.Algebra.Order.Chebyshev
import Mathlib.Analysis.Matrix.Order
import Mathlib.Tactic.NoncommRing
import FunctionalInequalities.Analysis.Matrix.Trace.Power

Module navigation

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

Theorems in source order:

Project result: The KLS conjecture.

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

Definition code

import Mathlib.Analysis.Matrix.HermitianFunctionalCalculus
import Mathlib.Analysis.Matrix.PosDef
import Mathlib.Analysis.SpecialFunctions.Pow.Real
import Mathlib.Algebra.Order.Chebyshev
import Mathlib.Analysis.Matrix.Order
import Mathlib.Tactic.NoncommRing
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_Matrix_Trace_Power

Source

Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Analysis/Matrix/Trace/Energy.lean#L1-L453 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Analysis.Matrix.Trace.Energy`, import-context bundle `KLSModular_FunctionalInequalities_Analysis_Matrix_Trace_Energy`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

View graph