Prove2Me

`BookProof.ChapterA.IsConjugation.commutesAntiUnitary` {M : System ℂ V} {θ : AntiUnitary V} (h : IsConjugation M θ) : CommutesAntiUnitary M θ

Proved
BookProof.ChapterA.IsConjugation.commutesAntiUnitary

by leonardopedro · Oct 16, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterA1c.

BookProof.ChapterA.IsConjugation.commutesAntiUnitary {M : System ℂ V} {θ : AntiUnitary V} (h : IsConjugation M θ) : CommutesAntiUnitary M θ

Formalization note: Lean 4 identifier BookProof.ChapterA.IsConjugation.commutesAntiUnitary.

Preamble
-- Generated from ChapterA1c.lean — theorem BookProof.ChapterA.IsConjugation.commutesAntiUnitary
import Mathlib
import Definitions.Def_ChapterA1c
import Definitions.Def_ChapterA
import Definitions.Def_ChapterA1
open BookProof.ChapterA
open BookProof.ChapterA
open BookProof.ChapterA


open scoped ComplexConjugate InnerProductSpace RealInnerProductSpace

variable {V : Type*} [NormedAddCommGroup V] [InnerProductSpace ℂ V] [CompleteSpace V]
Formal statement
theorem BookProof.ChapterA.IsConjugation.commutesAntiUnitary {M : System ℂ V} {θ : AntiUnitary V}
    (h : IsConjugation M θ) : CommutesAntiUnitary M θ := by sorry

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