`BookProof.ChapterPauliSU2.spinorAction_comp` (T₁ T₂ X : Matrix (Fin 2) (Fin 2) ℂ) : spinorAction (T₁ * T₂) X = spinorAction T₂ (spinorAction T₁ X)

Proved

BookProof.ChapterPauliSU2.spinorAction_comp

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterPauliSU2.

BookProof.ChapterPauliSU2.spinorAction_comp (T₁ T₂ X : Matrix (Fin 2) (Fin 2) ℂ) : spinorAction (T₁ * T₂) X = spinorAction T₂ (spinorAction T₁ X)

Formalization note: Lean 4 identifier BookProof.ChapterPauliSU2.spinorAction_comp.

Preamble

-- Generated from ChapterPauliSU2.lean — theorem BookProof.ChapterPauliSU2.spinorAction_comp
import Definitions.Def_ChapterPauliLorentz
import Mathlib
import Definitions.Def_ChapterPauliSU2
open BookProof.ChapterPauliSU2


open Matrix
open scoped BigOperators


open BookProof.ChapterPauliLorentz

Formal statement

theorem BookProof.ChapterPauliSU2.spinorAction_comp (T₁ T₂ X : Matrix (Fin 2) (Fin 2) ℂ) :
    spinorAction (T₁ * T₂) X = spinorAction T₂ (spinorAction T₁ X) := by sorry

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