fact: Definition arrow_subbicat_closed_composition {B : bicat} (D : arrow_subbicat B) : UU := (∏ (x y z : B) (f : x --> y) (g : y --> z), pred_ob D f → pred_ob D g → pred_ob D (f · g)) × (∏ (x y z : B) (f : x --> y) (g : y --> z), pred_ob D f → pred_ob D g → pred_mor D (f · g) g f).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Invertible_2cells UniMath.Bicategories.Core.Univalence UniMath.Bicategories.Morphisms.Adjunctions UniMath.Bicategories.Morphisms.FullyFaithful UniMath.Bicategories.Morphisms.DiscreteMorphisms UniMath.Bicategories.Morphisms.InternalStreetFibration UniMath.Bicategories.Morphisms.InternalStreetOpFibration UniMath.Bicategories.Morphisms.Properties.ContainsAdjEquiv UniMath.Bicategories.Morphisms.Properties.Composition UniMath.Bicategories.Morphisms.Properties.ClosedUnderPullback UniMath.Bicategories.Morphisms.Properties.FromInitial UniMath.Bicategories.Colimits.Initial UniMath.Bicategories.Limits.Pullbacks