`BookProof.ChapterA3.massless_little_group` : {T : Matrix (Fin 2) (Fin 2) ℂ | T.det = 1 ∧ FixesNullAxis (Upsilon T)} = SEtwo

Proved

BookProof.ChapterA3.massless_little_group

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterA4d.

BookProof.ChapterA3.massless_little_group : {T : Matrix (Fin 2) (Fin 2) ℂ | T.det = 1 ∧ FixesNullAxis (Upsilon T)} = SEtwo

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

Preamble

-- Generated from ChapterA4d.lean — theorem BookProof.ChapterA3.massless_little_group
import Mathlib
import Definitions.Def_ChapterA4d
import Definitions.Def_ChapterA3
import Definitions.Def_ChapterA3h
open BookProof.ChapterA3


open Matrix
open scoped ComplexConjugate

Formal statement

theorem BookProof.ChapterA3.massless_little_group :
    {T : Matrix (Fin 2) (Fin 2) ℂ | T.det = 1 ∧ FixesNullAxis (Upsilon T)} = SEtwo := by sorry

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