Prove2Me

`BookProof.ChapterConservative.timeEvo_unitary` (H : Matrix n n ℂ) (hH : H.IsHermitian) (t : ℝ) : (timeEvo H t)ᴴ * (timeEvo H t) = 1

Proved
BookProof.ChapterConservative.timeEvo_unitary

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterConservative.

BookProof.ChapterConservative.timeEvo_unitary (H : Matrix n n ℂ) (hH : H.IsHermitian) (t : ℝ) : (timeEvo H t)ᴴ * (timeEvo H t) = 1

Formalization note: Lean 4 identifier BookProof.ChapterConservative.timeEvo_unitary.

Preamble
-- Generated from ChapterConservative.lean — theorem BookProof.ChapterConservative.timeEvo_unitary
import Mathlib
import Definitions.Def_ChapterConservative
open BookProof.ChapterConservative


open scoped Matrix


variable {n : Type*} [Fintype n] [DecidableEq n]
Formal statement
theorem BookProof.ChapterConservative.timeEvo_unitary (H : Matrix n n ℂ) (hH : H.IsHermitian) (t : ℝ) :
    (timeEvo H t)ᴴ * (timeEvo H t) = 1 := by sorry

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