`BookProof.ChapterParitySU2.pauliV_pseudoreal` (j : Fin 3) : pauli2 * pauliV j * pauli2 = -((pauliV j).map (starRingEnd ℂ))

Proved

BookProof.ChapterParitySU2.pauliV_pseudoreal

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterParitySU2.

BookProof.ChapterParitySU2.pauliV_pseudoreal (j : Fin 3) : pauli2 * pauliV j * pauli2 = -((pauliV j).map (starRingEnd ℂ))

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

Preamble

-- Generated from ChapterParitySU2.lean — theorem BookProof.ChapterParitySU2.pauliV_pseudoreal
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.pauliV_pseudoreal (j : Fin 3) :
    pauli2 * pauliV j * pauli2 = -((pauliV j).map (starRingEnd ℂ)) := by sorry

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