`BookProof.ChapterGleasonPureMixed.P0_Q_not_commute` : P0 * Q ≠ Q * P0

Proved

BookProof.ChapterGleasonPureMixed.P0_Q_not_commute

by leonardopedro · Oct 8, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterGleasonPureMixed.

BookProof.ChapterGleasonPureMixed.P0_Q_not_commute : P0 * Q ≠ Q * P0

Formalization note: Lean 4 identifier BookProof.ChapterGleasonPureMixed.P0_Q_not_commute.

Preamble

-- Generated from ChapterGleasonPureMixed.lean — theorem BookProof.ChapterGleasonPureMixed.P0_Q_not_commute
import Mathlib
import Definitions.Def_ChapterGleasonPureMixed
import Definitions.Def_ChapterBRSTNilpotent
open BookProof.BRSTNilpotent
open BookProof.ChapterGleasonPureMixed


open scoped BigOperators
open Matrix

Formal statement

theorem BookProof.ChapterGleasonPureMixed.P0_Q_not_commute : P0 * Q ≠ Q * P0 := by sorry

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