`BookProof.ChapterPinDoubleCover.LamZ_neg` : ∀ S ∈ Omega, LamZ S = LamZ (-S)

Proved

BookProof.ChapterPinDoubleCover.LamZ_neg

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterPinDoubleCover.

BookProof.ChapterPinDoubleCover.LamZ_neg : ∀ S ∈ Omega, LamZ S = LamZ (-S)

Formalization note: Lean 4 identifier BookProof.ChapterPinDoubleCover.LamZ_neg.

Preamble

-- Generated from ChapterPinDoubleCover.lean — theorem BookProof.ChapterPinDoubleCover.LamZ_neg
import Definitions.Def_ChapterA3
import Mathlib
import Definitions.Def_ChapterPinDoubleCover
open BookProof.ChapterPinDoubleCover


open Matrix


open BookProof.ChapterA3
open Classical

Formal statement

theorem BookProof.ChapterPinDoubleCover.LamZ_neg : ∀ S ∈ Omega, LamZ S = LamZ (-S) := by sorry

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