fact: Definition full_sub_category_is_functor {C₁ C₂ : category} {P : hsubtype C₁} {Q : hsubtype C₂} {F : C₁ ⟶ C₂} (HF : ∏ (x : C₁), P x → Q (F x)) : is_functor (full_sub_category_functor_data HF).
imports: UniMath.Foundations.Sets UniMath.MoreFoundations.PartA UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Subcategory.Core