`BookProof.ChapterA3.hasLambda_neg` {S Λ : Matrix (Fin 4) (Fin 4) ℝ} (h : HasLambda S Λ) : HasLambda (-S) Λ

Proved

BookProof.ChapterA3.hasLambda_neg

by leonardopedro · Oct 6, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterA3c.

BookProof.ChapterA3.hasLambda_neg {S Λ : Matrix (Fin 4) (Fin 4) ℝ} (h : HasLambda S Λ) : HasLambda (-S) Λ

Formalization note: Lean 4 identifier BookProof.ChapterA3.hasLambda_neg.

Preamble

-- Generated from ChapterA3c.lean — theorem BookProof.ChapterA3.hasLambda_neg
import Mathlib
import Definitions.Def_ChapterA3c
import Definitions.Def_ChapterA3
open BookProof.ChapterA3


open Matrix
open scoped ComplexConjugate

Formal statement

theorem BookProof.ChapterA3.hasLambda_neg {S Λ : Matrix (Fin 4) (Fin 4) ℝ} (h : HasLambda S Λ) :
    HasLambda (-S) Λ := by sorry

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