`BookProof.ChapterParitySU2.su2_conj_inner` (j : Fin 3) : (su2gen j).map (starRingEnd ℂ) = pauli2 * su2gen j * pauli2

Proved

BookProof.ChapterParitySU2.su2_conj_inner

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterParitySU2.

BookProof.ChapterParitySU2.su2_conj_inner (j : Fin 3) : (su2gen j).map (starRingEnd ℂ) = pauli2 * su2gen j * pauli2

Formalization note: Lean 4 identifier BookProof.ChapterParitySU2.su2_conj_inner.

Preamble

-- Generated from ChapterParitySU2.lean — theorem BookProof.ChapterParitySU2.su2_conj_inner
import Mathlib
import Definitions.Def_ChapterParitySU2
import Definitions.Def_ChapterParity
open BookProof.ChapterParity
open BookProof.ChapterParitySU2


open Matrix
open scoped ComplexConjugate


open BookProof.ChapterParity

Formal statement

theorem BookProof.ChapterParitySU2.su2_conj_inner (j : Fin 3) :
    (su2gen j).map (starRingEnd ℂ) = pauli2 * su2gen j * pauli2 := by sorry

View graph