`BookProof.ChapterParityQL.QLParity_order_four` : QLParity * QLParity ≠ 1 ∧ QLParity * QLParity * (QLParity * QLParity) = 1

Proved

BookProof.ChapterParityQL.QLParity_order_four

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterParityQL.

BookProof.ChapterParityQL.QLParity_order_four : QLParity * QLParity ≠ 1 ∧ QLParity * QLParity * (QLParity * QLParity) = 1

Formalization note: Lean 4 identifier BookProof.ChapterParityQL.QLParity_order_four.

Preamble

-- Generated from ChapterParityQL.lean — theorem BookProof.ChapterParityQL.QLParity_order_four
import Definitions.Def_ChapterA3
import Definitions.Def_ChapterParity
import Mathlib
import Definitions.Def_ChapterParityQL
open BookProof.ChapterParityQL


open Matrix
open scoped Kronecker


open BookProof.ChapterA3
open BookProof.ChapterParity

Formal statement

theorem BookProof.ChapterParityQL.QLParity_order_four :
    QLParity * QLParity ≠ 1 ∧
      QLParity * QLParity * (QLParity * QLParity) = 1 := by sorry

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