Prove2Me

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

Proved
BookProof.ConservativeDiagonal.eventProj_commute

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterConservativeDiagonal.

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

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

Preamble
-- Generated from ChapterConservativeDiagonal.lean — theorem BookProof.ConservativeDiagonal.eventProj_commute
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_commute (S T : Finset n) :
    eventProj S * eventProj T = eventProj T * eventProj S := by sorry

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