Prove2Me

`BookProof.ChapterA3.mgamma_irreducible` (W : Submodule ℂ MajoranaSpace) (hW : ∀ μ, ∀ x ∈ W, mgammaLin μ x ∈ W) : W = ⊥ ∨ W = ⊤

Proved
BookProof.ChapterA3.mgamma_irreducible

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterPauliCommutant.

BookProof.ChapterA3.mgamma_irreducible (W : Submodule ℂ MajoranaSpace) (hW : ∀ μ, ∀ x ∈ W, mgammaLin μ x ∈ W) : W = ⊥ ∨ W = ⊤

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

Preamble
-- Generated from ChapterPauliCommutant.lean — theorem BookProof.ChapterA3.mgamma_irreducible
import Mathlib
import Definitions.Def_ChapterPauliCommutant
import Definitions.Def_ChapterA3
open BookProof.ChapterA3


open Matrix
Formal statement
theorem BookProof.ChapterA3.mgamma_irreducible (W : Submodule ℂ MajoranaSpace)
    (hW : ∀ μ, ∀ x ∈ W, mgammaLin μ x ∈ W) : W = ⊥ ∨ W = ⊤ := by sorry

View graph