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

Proved

BookProof.ChapterParity.gellMann_parity_sign

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterParity.

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

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

Preamble

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


open Matrix
open scoped ComplexConjugate

variable {n : Type*}

Formal statement

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

View graph