fact: Definition fully_faithful_inv_nat_trans_data {C₁ C₂ C₃ : category} {F : C₂ ⟶ C₃} (HF : fully_faithful F) {G₁ G₂ : C₁ ⟶ C₂} (α : G₁ ∙ F ⟹ G₂ ∙ F) : nat_trans_data G₁ G₂ := λ x, invmap (make_weq _ (HF (G₁ x) (G₂ x))) (α x).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.Categories.StandardCategories UniMath.CategoryTheory.Adjunctions.Core UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Invertible_2cells UniMath.Bicategories.Core.Unitors UniMath.Bicategories.Core.BicategoryLaws UniMath.Bicategories.Core.Univalence UniMath.Bicategories.Core.AdjointUnique UniMath.Bicategories.Core.EquivToAdjequiv UniMath.Bicategories.Core.UnivalenceOp UniMath.Bicategories.Core.Examples.OpMorBicat UniMath.Bicategories.Core.Examples.BicatOfUnivCats UniMath.Bicategories.Morphisms.Adjunctions UniMath.Bicategories.Morphisms.FullyFaithful UniMath.Bicategories.Morphisms.DiscreteMorphisms UniMath.Bicategories.Morphisms.Examples.MorphismsInOp1Bicat