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`BookProof.ChapterA.noAntilinearCommutant_isCComplex` {M : System ℂ V} [Nontrivial V] (h : NoAntilinearCommutant M) : IsCComplex M

Proved
BookProof.ChapterA.noAntilinearCommutant_isCComplex

by leonardopedro · Oct 17, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterA2c.

BookProof.ChapterA.noAntilinearCommutant_isCComplex {M : System ℂ V} [Nontrivial V] (h : NoAntilinearCommutant M) : IsCComplex M

Formalization note: Lean 4 identifier BookProof.ChapterA.noAntilinearCommutant_isCComplex.

Preamble
-- Generated from ChapterA2c.lean — theorem BookProof.ChapterA.noAntilinearCommutant_isCComplex
import Mathlib
import Definitions.Def_ChapterA2c
import Definitions.Def_ChapterA
import Definitions.Def_ChapterA1
open BookProof.ChapterA
open BookProof.ChapterA
open BookProof.ChapterA.AntiUnitary


open scoped ComplexConjugate InnerProductSpace Quaternion


variable {V : Type*} [NormedAddCommGroup V] [InnerProductSpace ℂ V] [CompleteSpace V]
Formal statement
theorem BookProof.ChapterA.noAntilinearCommutant_isCComplex {M : System ℂ V} [Nontrivial V]
    (h : NoAntilinearCommutant M) : IsCComplex M := by sorry

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