`BookProof.ChapterA3j.projChirL_spinGen_comm` (μ ν : Fin 4) : projChirL * spinGen μ ν = spinGen μ ν * projChirL

Proved

BookProof.ChapterA3j.projChirL_spinGen_comm

by leonardopedro · Oct 6, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterA3j.

BookProof.ChapterA3j.projChirL_spinGen_comm (μ ν : Fin 4) : projChirL * spinGen μ ν = spinGen μ ν * projChirL

Formalization note: Lean 4 identifier BookProof.ChapterA3j.projChirL_spinGen_comm.

Preamble

-- Generated from ChapterA3j.lean — theorem BookProof.ChapterA3j.projChirL_spinGen_comm
import Definitions.Def_ChapterA3
import Mathlib
import Definitions.Def_ChapterA3j
open BookProof.ChapterA3j


open Matrix


open BookProof.ChapterA3

Formal statement

theorem BookProof.ChapterA3j.projChirL_spinGen_comm (μ ν : Fin 4) :
    projChirL * spinGen μ ν = spinGen μ ν * projChirL := by sorry

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