`BookProof.ChapterA4g.rotGen_projPos_comm` (i j : Fin 3) : rotGen i j * projPos = projPos * rotGen i j

Proved

BookProof.ChapterA4g.rotGen_projPos_comm

by leonardopedro · Oct 7, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterA4g.

BookProof.ChapterA4g.rotGen_projPos_comm (i j : Fin 3) : rotGen i j * projPos = projPos * rotGen i j

Formalization note: Lean 4 identifier BookProof.ChapterA4g.rotGen_projPos_comm.

Preamble

-- Generated from ChapterA4g.lean — theorem BookProof.ChapterA4g.rotGen_projPos_comm
import Definitions.Def_ChapterA3
import Mathlib
import Definitions.Def_ChapterA4g
import Definitions.Def_ChapterA4e
open BookProof.ChapterA4e
open BookProof.ChapterA4g


open Matrix
open scoped ComplexConjugate


open BookProof.ChapterA3

Formal statement

theorem BookProof.ChapterA4g.rotGen_projPos_comm (i j : Fin 3) :
    rotGen i j * projPos = projPos * rotGen i j := by sorry

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