`BookProof.ChapterA3j.projChirR_spinGen_comm` (μ ν : Fin 4) : projChirR * spinGen μ ν = spinGen μ ν * projChirR

Proved

BookProof.ChapterA3j.projChirR_spinGen_comm

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterA3j.

BookProof.ChapterA3j.projChirR_spinGen_comm (μ ν : Fin 4) : projChirR * spinGen μ ν = spinGen μ ν * projChirR

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

Preamble

-- Generated from ChapterA3j.lean — theorem BookProof.ChapterA3j.projChirR_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.projChirR_spinGen_comm (μ ν : Fin 4) :
    projChirR * spinGen μ ν = spinGen μ ν * projChirR := by sorry

View graph