`BookProof.ChapterEulerDensityMatrix.densityMatrix_symm` (t : ℝ) : (densityMatrix t)ᵀ = densityMatrix t

Proved

BookProof.ChapterEulerDensityMatrix.densityMatrix_symm

by leonardopedro · Oct 8, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterEulerDensityMatrix.

BookProof.ChapterEulerDensityMatrix.densityMatrix_symm (t : ℝ) : (densityMatrix t)ᵀ = densityMatrix t

Formalization note: Lean 4 identifier BookProof.ChapterEulerDensityMatrix.densityMatrix_symm.

Preamble

-- Generated from ChapterEulerDensityMatrix.lean — theorem BookProof.ChapterEulerDensityMatrix.densityMatrix_symm
import Mathlib
import Definitions.Def_ChapterEulerDensityMatrix
open BookProof.ChapterEulerDensityMatrix


open scoped Matrix

Formal statement

theorem BookProof.ChapterEulerDensityMatrix.densityMatrix_symm (t : ℝ) : (densityMatrix t)ᵀ = densityMatrix t := by sorry

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