`BookProof.ConservativeDiagonal.eventProj_idem` (S : Finset n) : eventProj S * eventProj S = eventProj S

Proved

BookProof.ConservativeDiagonal.eventProj_idem

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterConservativeDiagonal.

BookProof.ConservativeDiagonal.eventProj_idem (S : Finset n) : eventProj S * eventProj S = eventProj S

Formalization note: Lean 4 identifier BookProof.ConservativeDiagonal.eventProj_idem.

Preamble

-- Generated from ChapterConservativeDiagonal.lean — theorem BookProof.ConservativeDiagonal.eventProj_idem
import Definitions.Def_ChapterFreeFieldConstraint
import Mathlib
import Definitions.Def_ChapterConservativeDiagonal
open BookProof.ConservativeDiagonal


open scoped Matrix
open Matrix BookProof.FreeFieldConstraint


variable {n : Type*} [Fintype n] [DecidableEq n]

Formal statement

theorem BookProof.ConservativeDiagonal.eventProj_idem (S : Finset n) : eventProj S * eventProj S = eventProj S := by sorry

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