`BookProof.ChapterA3k.parity_swaps_LR_RL` : parityDiag * projLR = projRL * parityDiag

Proved

BookProof.ChapterA3k.parity_swaps_LR_RL

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterA3k.

BookProof.ChapterA3k.parity_swaps_LR_RL : parityDiag * projLR = projRL * parityDiag

Formalization note: Lean 4 identifier BookProof.ChapterA3k.parity_swaps_LR_RL.

Preamble

-- Generated from ChapterA3k.lean — theorem BookProof.ChapterA3k.parity_swaps_LR_RL
import Mathlib
import Definitions.Def_ChapterA3k
import Definitions.Def_ChapterA3
import Definitions.Def_ChapterA3j
open BookProof.ChapterA3
open BookProof.ChapterA3j
open BookProof.ChapterA3k


open Matrix
open scoped Kronecker


open BookProof.ChapterA3 BookProof.ChapterA3j

Formal statement

theorem BookProof.ChapterA3k.parity_swaps_LR_RL : parityDiag * projLR = projRL * parityDiag := by sorry

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