`BookProof.ChapterAbelianAtomicCondensation.atomProj_idem` (i : ℕ) : (atomProj i).comp (atomProj i) = atomProj i

Proved

BookProof.ChapterAbelianAtomicCondensation.atomProj_idem

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterAbelianAtomicCondensation.

BookProof.ChapterAbelianAtomicCondensation.atomProj_idem (i : ℕ) : (atomProj i).comp (atomProj i) = atomProj i

Formalization note: Lean 4 identifier BookProof.ChapterAbelianAtomicCondensation.atomProj_idem.

Preamble

-- Generated from ChapterAbelianAtomicCondensation.lean — theorem BookProof.ChapterAbelianAtomicCondensation.atomProj_idem
import Mathlib
import Definitions.Def_ChapterAbelianAtomicCondensation
import Definitions.Def_ChapterAbelianDiagonalCountable
open BookProof.ChapterAbelianDiagonalCountable
open BookProof.ChapterAbelianAtomicCondensation


open scoped ENNReal

noncomputable section


open BookProof.ChapterAbelianDiagonalCountable

Formal statement

theorem BookProof.ChapterAbelianAtomicCondensation.atomProj_idem (i : ℕ) : (atomProj i).comp (atomProj i) = atomProj i := by sorry

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