Prove2Me

`BookProof.ChapterA3.upsilon_little_group_lorentz` (T : Matrix (Fin 2) (Fin 2) ℂ) (hT : T ∈ SUtwo) : Upsilon T ∈ LorentzO ∧ FixesTimeAxis (Upsilon T)

Proved
BookProof.ChapterA3.upsilon_little_group_lorentz

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterA4c.

BookProof.ChapterA3.upsilon_little_group_lorentz (T : Matrix (Fin 2) (Fin 2) ℂ) (hT : T ∈ SUtwo) : Upsilon T ∈ LorentzO ∧ FixesTimeAxis (Upsilon T)

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

Preamble
-- Generated from ChapterA4c.lean — theorem BookProof.ChapterA3.upsilon_little_group_lorentz
import Mathlib
import Definitions.Def_ChapterA4c
import Definitions.Def_ChapterA3c
import Definitions.Def_ChapterA3
import Definitions.Def_ChapterA3h
open BookProof.ChapterA3


open Matrix
open scoped ComplexConjugate
Formal statement
theorem BookProof.ChapterA3.upsilon_little_group_lorentz (T : Matrix (Fin 2) (Fin 2) ℂ) (hT : T ∈ SUtwo) :
    Upsilon T ∈ LorentzO ∧ FixesTimeAxis (Upsilon T) := by sorry

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