`BookProof.ChapterA3.hasLambda_LambdaOf` (S : Matrix (Fin 4) (Fin 4) ℝ) (h : ∃ Λ, HasLambda S Λ) : HasLambda S (LambdaOf S)

Proved

BookProof.ChapterA3.hasLambda_LambdaOf

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterA3c.

BookProof.ChapterA3.hasLambda_LambdaOf (S : Matrix (Fin 4) (Fin 4) ℝ) (h : ∃ Λ, HasLambda S Λ) : HasLambda S (LambdaOf S)

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

Preamble

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


open Matrix
open scoped ComplexConjugate

Formal statement

theorem BookProof.ChapterA3.hasLambda_LambdaOf (S : Matrix (Fin 4) (Fin 4) ℝ)
    (h : ∃ Λ, HasLambda S Λ) : HasLambda S (LambdaOf S) := by sorry

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