Prove2Me

`BookProof.ChapterSymmetryRep.timeEvoRep_apply` (H : Matrix n n ℂ) (hH : H.IsHermitian) (t : ℝ) : (timeEvoRep H hH (Multiplicative.ofAdd t) : Matrix n n ℂ) = timeEvo H t

Proved
BookProof.ChapterSymmetryRep.timeEvoRep_apply

by leonardopedro · Oct 11, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSymmetryRep.

BookProof.ChapterSymmetryRep.timeEvoRep_apply (H : Matrix n n ℂ) (hH : H.IsHermitian) (t : ℝ) : (timeEvoRep H hH (Multiplicative.ofAdd t) : Matrix n n ℂ) = timeEvo H t

Formalization note: Lean 4 identifier BookProof.ChapterSymmetryRep.timeEvoRep_apply.

Preamble
-- Generated from ChapterSymmetryRep.lean — theorem BookProof.ChapterSymmetryRep.timeEvoRep_apply
import Mathlib
import Definitions.Def_ChapterSymmetryRep
import Definitions.Def_ChapterConservative
open BookProof.ChapterConservative
open BookProof.ChapterSymmetryRep


open scoped Matrix


open BookProof.ChapterConservative

variable {n : Type*} [Fintype n] [DecidableEq n]
Formal statement
theorem BookProof.ChapterSymmetryRep.timeEvoRep_apply (H : Matrix n n ℂ) (hH : H.IsHermitian) (t : ℝ) :
    (timeEvoRep H hH (Multiplicative.ofAdd t) : Matrix n n ℂ) = timeEvo H t := by sorry

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