Prove2Me

`BookProof.ChapterA3.chargeConj_mgamma_commutes` (μ : Fin 4) (v : Fin 4 → ℂ) : chargeConj (mgamma μ *ᵥ v) = mgamma μ *ᵥ chargeConj v

Proved
BookProof.ChapterA3.chargeConj_mgamma_commutes

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterA3b.

BookProof.ChapterA3.chargeConj_mgamma_commutes (μ : Fin 4) (v : Fin 4 → ℂ) : chargeConj (mgamma μ *ᵥ v) = mgamma μ *ᵥ chargeConj v

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

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


open Matrix
open scoped ComplexConjugate
Formal statement
theorem BookProof.ChapterA3.chargeConj_mgamma_commutes (μ : Fin 4) (v : Fin 4 → ℂ) :
    chargeConj (mgamma μ *ᵥ v) = mgamma μ *ᵥ chargeConj v := by sorry

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