`BookProof.ChapterA3.isCliffordC_toC` {A : Fin 4 → Matrix (Fin 4) (Fin 4) ℝ} (hA : IsCliffordR A) : IsCliffordC (fun μ => toC (A μ))

Proved

BookProof.ChapterA3.isCliffordC_toC

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterA3b.

BookProof.ChapterA3.isCliffordC_toC {A : Fin 4 → Matrix (Fin 4) (Fin 4) ℝ} (hA : IsCliffordR A) : IsCliffordC (fun μ => toC (A μ))

Formalization note: Lean 4 identifier BookProof.ChapterA3.isCliffordC_toC.

Preamble

-- Generated from ChapterA3b.lean — theorem BookProof.ChapterA3.isCliffordC_toC
import Mathlib
import Definitions.Def_ChapterA3b
import Definitions.Def_ChapterA3
open BookProof.ChapterA3


open Matrix
open scoped ComplexConjugate

Formal statement

theorem BookProof.ChapterA3.isCliffordC_toC {A : Fin 4 → Matrix (Fin 4) (Fin 4) ℝ} (hA : IsCliffordR A) :
    IsCliffordC (fun μ => toC (A μ)) := by sorry

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