Prove2Me

`BookProof.ChapterA3x.projMixed_idem` {N : ℕ} (hN : 2 ≤ N) : projMixed N * projMixed N = projMixed N

Proved
BookProof.ChapterA3x.projMixed_idem

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterA3x.

BookProof.ChapterA3x.projMixed_idem {N : ℕ} (hN : 2 ≤ N) : projMixed N * projMixed N = projMixed N

Formalization note: Lean 4 identifier BookProof.ChapterA3x.projMixed_idem.

Preamble
-- Generated from ChapterA3x.lean — theorem BookProof.ChapterA3x.projMixed_idem
import Definitions.Def_ChapterA3
import Definitions.Def_ChapterA3j
import Definitions.Def_ChapterA3p
import Mathlib
import Definitions.Def_ChapterA3x
import Definitions.Def_ChapterA3l
import Definitions.Def_ChapterA3n
import Definitions.Def_ChapterA3o
open BookProof.ChapterA3l
open BookProof.ChapterA3n
open BookProof.ChapterA3o
open BookProof.ChapterA3x


open Matrix
open scoped BigOperators


open BookProof.ChapterA3 BookProof.ChapterA3j BookProof.ChapterA3n BookProof.ChapterA3o
open BookProof.ChapterA3p
Formal statement
theorem BookProof.ChapterA3x.projMixed_idem {N : ℕ} (hN : 2 ≤ N) :
    projMixed N * projMixed N = projMixed N := by sorry

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