`BookProof.ChapterA3.hasAdLambda_smul` {G A : Matrix (Fin 4) (Fin 4) ℝ} (c : ℝ) (h : HasAdLambda G A) : HasAdLambda (c • G) (c • A)

Proved

BookProof.ChapterA3.hasAdLambda_smul

by leonardopedro · Oct 7, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterA3e.

BookProof.ChapterA3.hasAdLambda_smul {G A : Matrix (Fin 4) (Fin 4) ℝ} (c : ℝ) (h : HasAdLambda G A) : HasAdLambda (c • G) (c • A)

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

Preamble

-- Generated from ChapterA3e.lean — theorem BookProof.ChapterA3.hasAdLambda_smul
import Mathlib
import Definitions.Def_ChapterA3e
import Definitions.Def_ChapterA3c
import Definitions.Def_ChapterA3
open BookProof.ChapterA3


open Matrix

Formal statement

theorem BookProof.ChapterA3.hasAdLambda_smul {G A : Matrix (Fin 4) (Fin 4) ℝ} (c : ℝ)
    (h : HasAdLambda G A) : HasAdLambda (c • G) (c • A) := by sorry

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