`BookProof.ChapterParity.gellMann_conj` (a : Fin 8) : (gellMann a).map (starRingEnd ℂ) = (gellMannConjSign a) • gellMann a

Proved

BookProof.ChapterParity.gellMann_conj

by leonardopedro · Oct 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterParity.

BookProof.ChapterParity.gellMann_conj (a : Fin 8) : (gellMann a).map (starRingEnd ℂ) = (gellMannConjSign a) • gellMann a

Formalization note: Lean 4 identifier BookProof.ChapterParity.gellMann_conj.

Preamble

-- Generated from ChapterParity.lean — theorem BookProof.ChapterParity.gellMann_conj
import Mathlib
import Definitions.Def_ChapterParity
open BookProof.ChapterParity


open Matrix
open scoped ComplexConjugate

variable {n : Type*}

Formal statement

theorem BookProof.ChapterParity.gellMann_conj (a : Fin 8) :
    (gellMann a).map (starRingEnd ℂ) = (gellMannConjSign a) • gellMann a := by sorry

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