`BookProof.ChapterAbelianVonNeumannFinite.conjDiagonal_injective` (U : Matrix.unitaryGroup n ℂ) : Function.Injective (conjDiagonal U)

Proved

BookProof.ChapterAbelianVonNeumannFinite.conjDiagonal_injective

by leonardopedro · Oct 7, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterAbelianVonNeumannFinite.

BookProof.ChapterAbelianVonNeumannFinite.conjDiagonal_injective (U : Matrix.unitaryGroup n ℂ) : Function.Injective (conjDiagonal U)

Formalization note: Lean 4 identifier BookProof.ChapterAbelianVonNeumannFinite.conjDiagonal_injective.

Preamble

-- Generated from ChapterAbelianVonNeumannFinite.lean — theorem BookProof.ChapterAbelianVonNeumannFinite.conjDiagonal_injective
import Mathlib
import Definitions.Def_ChapterAbelianVonNeumannFinite
import Definitions.Def_ChapterAbelianDiagonal
open BookProof.AbelianDiagonal
open BookProof.ChapterAbelianVonNeumannFinite


open Matrix


variable {n : Type*} [Fintype n] [DecidableEq n]

Formal statement

theorem BookProof.ChapterAbelianVonNeumannFinite.conjDiagonal_injective (U : Matrix.unitaryGroup n ℂ) :
    Function.Injective (conjDiagonal U) := by sorry

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