Prove2Me

`BookProof.ChapterA3n.projSym_diagGen_comm` {N : ℕ} (A : Matrix (Fin 4) (Fin 4) ℂ) : projSym N * diagGen A = diagGen A * projSym N

Proved
BookProof.ChapterA3n.projSym_diagGen_comm

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterA3n.

BookProof.ChapterA3n.projSym_diagGen_comm {N : ℕ} (A : Matrix (Fin 4) (Fin 4) ℂ) : projSym N * diagGen A = diagGen A * projSym N

Formalization note: Lean 4 identifier BookProof.ChapterA3n.projSym_diagGen_comm.

Preamble
-- Generated from ChapterA3n.lean — theorem BookProof.ChapterA3n.projSym_diagGen_comm
import Definitions.Def_ChapterA3
import Definitions.Def_ChapterA3j
import Mathlib
import Definitions.Def_ChapterA3n
import Definitions.Def_ChapterA3l
open BookProof.ChapterA3l
open BookProof.ChapterA3n


open Matrix
open scoped BigOperators


open BookProof.ChapterA3 BookProof.ChapterA3j
Formal statement
theorem BookProof.ChapterA3n.projSym_diagGen_comm {N : ℕ} (A : Matrix (Fin 4) (Fin 4) ℂ) :
    projSym N * diagGen A = diagGen A * projSym N := by sorry

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