`BookProof.ChapterPauliFundamental.G_span` : Submodule.span ℂ (Set.range G) = ⊤

Proved

BookProof.ChapterPauliFundamental.G_span

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterPauliFundamental.

BookProof.ChapterPauliFundamental.G_span : Submodule.span ℂ (Set.range G) = ⊤

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

Preamble

-- Generated from ChapterPauliFundamental.lean — theorem BookProof.ChapterPauliFundamental.G_span
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

variable {A : Fin 4 → M4}

Formal statement

theorem BookProof.ChapterPauliFundamental.G_span : Submodule.span ℂ (Set.range G) = ⊤ := by sorry

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