`BookProof.Complexification.cxConj_isConjugation` [CompleteSpace W] (M : System ℝ W) : IsConjugation (cxSystem M) Cx.cxConj

Proved

BookProof.Complexification.cxConj_isConjugation

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

theoremstimepiece

Prove the following Lean 4 theorem from Complexification.

BookProof.Complexification.cxConj_isConjugation [CompleteSpace W] (M : System ℝ W) : IsConjugation (cxSystem M) Cx.cxConj

Formalization note: Lean 4 identifier BookProof.Complexification.cxConj_isConjugation.

Preamble

-- Generated from Complexification.lean — theorem BookProof.Complexification.cxConj_isConjugation
import Mathlib
import Definitions.Def_Complexification
import Definitions.Def_ChapterA
import Definitions.Def_ChapterA1
open BookProof.ChapterA
open BookProof.ChapterA
open BookProof.ChapterA.AntiUnitary
open BookProof.Complexification


open scoped RealInnerProductSpace
open RCLike


set_option linter.unusedSectionVars false

variable {W : Type*} [NormedAddCommGroup W] [InnerProductSpace ℝ W]

Formal statement

theorem BookProof.Complexification.cxConj_isConjugation [CompleteSpace W] (M : System ℝ W) :
    IsConjugation (cxSystem M) Cx.cxConj := by sorry

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