`BookProof.ChapterPauliFundamental.gp_append` (A : Fin 4 → M4) (l₁ l₂ : List (Fin 4)) : gp A (l₁ ++ l₂) = gp A l₁ * gp A l₂

Proved

BookProof.ChapterPauliFundamental.gp_append

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterPauliFundamental.

BookProof.ChapterPauliFundamental.gp_append (A : Fin 4 → M4) (l₁ l₂ : List (Fin 4)) : gp A (l₁ ++ l₂) = gp A l₁ * gp A l₂

Formalization note: Lean 4 identifier BookProof.ChapterPauliFundamental.gp_append.

Preamble

-- Generated from ChapterPauliFundamental.lean — theorem BookProof.ChapterPauliFundamental.gp_append
import Definitions.Def_ChapterA3
import Definitions.Def_ChapterGammaCommutant
import Mathlib
import Definitions.Def_ChapterPauliFundamental
open BookProof.ChapterPauliFundamental


open Matrix Finset


open BookProof.ChapterA3 BookProof.ChapterGammaCommutant

Formal statement

theorem BookProof.ChapterPauliFundamental.gp_append (A : Fin 4 → M4) (l₁ l₂ : List (Fin 4)) :
    gp A (l₁ ++ l₂) = gp A l₁ * gp A l₂ := by sorry

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