`BookProof.ChapterA3j.parity_swaps_chirL` : projChirL * mgamma 0 = mgamma 0 * projChirR

Proved

BookProof.ChapterA3j.parity_swaps_chirL

by leonardopedro · Oct 6, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterA3j.

BookProof.ChapterA3j.parity_swaps_chirL : projChirL * mgamma 0 = mgamma 0 * projChirR

Formalization note: Lean 4 identifier BookProof.ChapterA3j.parity_swaps_chirL.

Preamble

-- Generated from ChapterA3j.lean — theorem BookProof.ChapterA3j.parity_swaps_chirL
import Mathlib
import Definitions.Def_ChapterA3j
import Definitions.Def_ChapterA3
open BookProof.ChapterA3
open BookProof.ChapterA3j


open Matrix


open BookProof.ChapterA3

Formal statement

theorem BookProof.ChapterA3j.parity_swaps_chirL :
    projChirL * mgamma 0 = mgamma 0 * projChirR := by sorry

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