`BookProof.ChapterParity.fermionParity_order_four` : mgamma 0 * mgamma 0 ≠ 1 ∧ mgamma 0 * mgamma 0 * (mgamma 0 * mgamma 0) = 1

Proved

BookProof.ChapterParity.fermionParity_order_four

by leonardopedro · Oct 11, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterParity.

BookProof.ChapterParity.fermionParity_order_four : mgamma 0 * mgamma 0 ≠ 1 ∧ mgamma 0 * mgamma 0 * (mgamma 0 * mgamma 0) = 1

Formalization note: Lean 4 identifier BookProof.ChapterParity.fermionParity_order_four.

Preamble

-- Generated from ChapterParity.lean — theorem BookProof.ChapterParity.fermionParity_order_four
import Mathlib
import Definitions.Def_ChapterParity
import Definitions.Def_ChapterA3
open BookProof.ChapterA3
open BookProof.ChapterParity


open Matrix
open scoped ComplexConjugate

variable {n : Type*}

Formal statement

theorem BookProof.ChapterParity.fermionParity_order_four :
    mgamma 0 * mgamma 0 ≠ 1 ∧
      mgamma 0 * mgamma 0 * (mgamma 0 * mgamma 0) = 1 := by sorry

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