`BookProof.ChapterParity.higgsParity_order_four` : higgsParity * higgsParity ≠ 1 ∧ higgsParity * higgsParity * (higgsParity * higgsParity) = 1

Proved

BookProof.ChapterParity.higgsParity_order_four

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterParity.

BookProof.ChapterParity.higgsParity_order_four : higgsParity * higgsParity ≠ 1 ∧ higgsParity * higgsParity * (higgsParity * higgsParity) = 1

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

Preamble

-- Generated from ChapterParity.lean — theorem BookProof.ChapterParity.higgsParity_order_four
import Mathlib
import Definitions.Def_ChapterParity
open BookProof.ChapterParity


open Matrix
open scoped ComplexConjugate

variable {n : Type*}

Formal statement

theorem BookProof.ChapterParity.higgsParity_order_four :
    higgsParity * higgsParity ≠ 1 ∧
      higgsParity * higgsParity * (higgsParity * higgsParity) = 1 := by sorry

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