`BookProof.ChapterEulerDensityMatrix.densityMatrix_trace` (t : ℝ) : Matrix.trace (densityMatrix t) = 1

Proved

BookProof.ChapterEulerDensityMatrix.densityMatrix_trace

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterEulerDensityMatrix.

BookProof.ChapterEulerDensityMatrix.densityMatrix_trace (t : ℝ) : Matrix.trace (densityMatrix t) = 1

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

Preamble

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


open scoped Matrix

Formal statement

theorem BookProof.ChapterEulerDensityMatrix.densityMatrix_trace (t : ℝ) : Matrix.trace (densityMatrix t) = 1 := by sorry

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