| import Mathlib | |
| open CategoryTheory Idempotents | |
| variable {C : Type*} [Category.{v} C] | |
| theorem idempotent_splitting_from_epi_mono_factorization | |
| (h : ∀ (X : C) (p : X ⟶ X) (hpp : p ≫ p = p), | |
| ∃ (Y : C) (e : X ⟶ Y) (he : Epi e) (m : Y ⟶ X) (hm : Mono m), p = e ≫ m) : | |
| IsIdempotentComplete C := by | |
| sorry |