fact: Definition reflects_morphism {C D : category} (F : functor C D) (P : ∏ (C : category) (a b : ob C), C⟦a, b⟧ → UU) : UU := ∏ a b f, P D (F a) (F b) (# F f) → P C a b f.
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.MoreFoundations.PartA UniMath.MoreFoundations.Univalence UniMath.MoreFoundations.Tactics UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.TransportMorphisms UniMath.CategoryTheory.Core.Univalence