`BookProof.ChapterPauliFundamental.inter_intertwines` (hA : IsCliffordC A) (F : M4) (μ : Fin 4) : A μ * inter A F = inter A F * mgamma μ

Proved

BookProof.ChapterPauliFundamental.inter_intertwines

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterPauliFundamental.

BookProof.ChapterPauliFundamental.inter_intertwines (hA : IsCliffordC A) (F : M4) (μ : Fin 4) : A μ * inter A F = inter A F * mgamma μ

Formalization note: Lean 4 identifier BookProof.ChapterPauliFundamental.inter_intertwines.

Preamble

-- Generated from ChapterPauliFundamental.lean — theorem BookProof.ChapterPauliFundamental.inter_intertwines
import Definitions.Def_ChapterGammaCommutant
import Mathlib
import Definitions.Def_ChapterPauliFundamental
import Definitions.Def_ChapterA3
import Definitions.Def_ChapterA3b
open BookProof.ChapterA3
open BookProof.ChapterPauliFundamental


open Matrix Finset


open BookProof.ChapterA3 BookProof.ChapterGammaCommutant

variable {A : Fin 4 → M4}

Formal statement

theorem BookProof.ChapterPauliFundamental.inter_intertwines (hA : IsCliffordC A) (F : M4) (μ : Fin 4) :
    A μ * inter A F = inter A F * mgamma μ := by sorry

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