Import context: Analysis/Matrix/LogDet

Definition

KLSModular_FunctionalInequalities_Analysis_Matrix_LogDet

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.LogDet 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.Analysis.Matrix.PosDef, Mathlib.Analysis.Matrix.Order, Mathlib.Analysis.Matrix.HermitianFunctionalCalculus, Mathlib.Analysis.SpecialFunctions.Log.Deriv, Mathlib.Analysis.Calculus.Deriv.Inv, Mathlib.Analysis.Convex.Deriv, Mathlib.Analysis.SpecialFunctions.Pow.Real, Mathlib.Analysis.Matrix.Spectrum, and Mathlib.LinearAlgebra.Matrix.Trace.

Original module imports

import Mathlib.Analysis.Matrix.PosDef
import Mathlib.Analysis.Matrix.Order
import Mathlib.Analysis.Matrix.HermitianFunctionalCalculus
import Mathlib.Analysis.SpecialFunctions.Log.Deriv
import Mathlib.Analysis.Calculus.Deriv.Inv
import Mathlib.Analysis.Convex.Deriv
import Mathlib.Analysis.SpecialFunctions.Pow.Real
import Mathlib.Analysis.Matrix.Spectrum
import Mathlib.LinearAlgebra.Matrix.Trace

Module navigation

Theorems in source order:

Project result: The KLS conjecture.

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

Definition code

import Mathlib.Analysis.Matrix.PosDef
import Mathlib.Analysis.Matrix.Order
import Mathlib.Analysis.Matrix.HermitianFunctionalCalculus
import Mathlib.Analysis.SpecialFunctions.Log.Deriv
import Mathlib.Analysis.Calculus.Deriv.Inv
import Mathlib.Analysis.Convex.Deriv
import Mathlib.Analysis.SpecialFunctions.Pow.Real
import Mathlib.Analysis.Matrix.Spectrum
import Mathlib.LinearAlgebra.Matrix.Trace

Source

Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Analysis/Matrix/LogDet.lean#L1-L558 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Analysis.Matrix.LogDet`, import-context bundle `KLSModular_FunctionalInequalities_Analysis_Matrix_LogDet`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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