Prove2Me

`BookProof.ChapterA3k.projLL_spinGenDiag_comm` (μ ν : Fin 4) : projLL * spinGenDiag μ ν = spinGenDiag μ ν * projLL

Proved
BookProof.ChapterA3k.projLL_spinGenDiag_comm

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterA3k.

BookProof.ChapterA3k.projLL_spinGenDiag_comm (μ ν : Fin 4) : projLL * spinGenDiag μ ν = spinGenDiag μ ν * projLL

Formalization note: Lean 4 identifier BookProof.ChapterA3k.projLL_spinGenDiag_comm.

Preamble
-- Generated from ChapterA3k.lean — theorem BookProof.ChapterA3k.projLL_spinGenDiag_comm
import Definitions.Def_ChapterA3
import Mathlib
import Definitions.Def_ChapterA3k
import Definitions.Def_ChapterA3j
open BookProof.ChapterA3j
open BookProof.ChapterA3k


open Matrix
open scoped Kronecker


open BookProof.ChapterA3 BookProof.ChapterA3j
Formal statement
theorem BookProof.ChapterA3k.projLL_spinGenDiag_comm (μ ν : Fin 4) :
    projLL * spinGenDiag μ ν = spinGenDiag μ ν * projLL := by sorry

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