`BookProof.ChapterParityZ4.combinedParity_sq` : combinedParity ^ 2 = (-1, -1, -1, -1)

Proved

BookProof.ChapterParityZ4.combinedParity_sq

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterParityZ4.

BookProof.ChapterParityZ4.combinedParity_sq : combinedParity ^ 2 = (-1, -1, -1, -1)

Formalization note: Lean 4 identifier BookProof.ChapterParityZ4.combinedParity_sq.

Preamble

-- Generated from ChapterParityZ4.lean — theorem BookProof.ChapterParityZ4.combinedParity_sq
import Mathlib
import Definitions.Def_ChapterParityZ4
import Definitions.Def_ChapterA3
import Definitions.Def_ChapterParity
import Definitions.Def_ChapterParityQL
open BookProof.ChapterA3
open BookProof.ChapterParity
open BookProof.ChapterParityQL
open BookProof.ChapterParityZ4


open Matrix


open BookProof.ChapterParity
open BookProof.ChapterParityQL
open BookProof.ChapterA3

Formal statement

theorem BookProof.ChapterParityZ4.combinedParity_sq :
    combinedParity ^ 2 = (-1, -1, -1, -1) := by sorry

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