`BookProof.ChapterA3.hasAdLambda_sum` {ι : Type*} (s : Finset ι) (G A : ι → Matrix (Fin 4) (Fin 4) ℝ) (h : ∀ i ∈ s, HasAdLambda (G i) (A i)) : HasAdLambda (∑ i ∈ s, G i) (∑ i ∈ s,

Proved

BookProof.ChapterA3.hasAdLambda_sum

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterA3e.

BookProof.ChapterA3.hasAdLambda_sum {ι : Type*} (s : Finset ι) (G A : ι → Matrix (Fin 4) (Fin 4) ℝ) (h : ∀ i ∈ s, HasAdLambda (G i) (A i)) : HasAdLambda (∑ i ∈ s, G i) (∑ i ∈ s, A i)

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

Preamble

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


open Matrix

Formal statement

theorem BookProof.ChapterA3.hasAdLambda_sum {ι : Type*} (s : Finset ι)
    (G A : ι → Matrix (Fin 4) (Fin 4) ℝ) (h : ∀ i ∈ s, HasAdLambda (G i) (A i)) :
    HasAdLambda (∑ i ∈ s, G i) (∑ i ∈ s, A i) := by sorry

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