`BookProof.ChapterPinDoubleCover.LamZ_hom` : ∀ S ∈ Omega, ∀ T ∈ Omega, LamZ (S * T) = LamZ S * LamZ T

Proved

BookProof.ChapterPinDoubleCover.LamZ_hom

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterPinDoubleCover.

BookProof.ChapterPinDoubleCover.LamZ_hom : ∀ S ∈ Omega, ∀ T ∈ Omega, LamZ (S * T) = LamZ S * LamZ T

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

Preamble

-- Generated from ChapterPinDoubleCover.lean — theorem BookProof.ChapterPinDoubleCover.LamZ_hom
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_hom : ∀ S ∈ Omega, ∀ T ∈ Omega, LamZ (S * T) = LamZ S * LamZ T := by sorry

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