fact: Definition functor_preserves_split_idempotent {c : C} (f : split_idempotent c) : split_idempotent (F c) := _ ,, (functor_preserves_is_split_idempotent f).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors