`BookProof.ChapterA3.spinLie_hasAdLambda_lorentzLie` {G : Matrix (Fin 4) (Fin 4) ℝ} (hG : IsSpinLie G) : ∃ A, HasAdLambda G A ∧ A ∈ LorentzLie

Proved

BookProof.ChapterA3.spinLie_hasAdLambda_lorentzLie

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterA3e.

BookProof.ChapterA3.spinLie_hasAdLambda_lorentzLie {G : Matrix (Fin 4) (Fin 4) ℝ} (hG : IsSpinLie G) : ∃ A, HasAdLambda G A ∧ A ∈ LorentzLie

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

Preamble

-- Generated from ChapterA3e.lean — theorem BookProof.ChapterA3.spinLie_hasAdLambda_lorentzLie
import Mathlib
import Definitions.Def_ChapterA3e
import Definitions.Def_ChapterA3
open BookProof.ChapterA3


open Matrix

Formal statement

theorem BookProof.ChapterA3.spinLie_hasAdLambda_lorentzLie {G : Matrix (Fin 4) (Fin 4) ℝ}
    (hG : IsSpinLie G) : ∃ A, HasAdLambda G A ∧ A ∈ LorentzLie := by sorry

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