fact: Definition arrow_subbicat_closed_prod_mor {B : bicat} (D : arrow_subbicat B) : UU := ∏ (pb x y z : B) (f : x --> z) (g : y --> z) (p₁ : pb --> x) (p₂ : pb --> y) (γ : invertible_2cell (p₁ · f) (p₂ · g)) (H : has_pb_ump (make_pb_cone pb p₁ p₂ γ)) (c : B) (cp : c --> x) (h : c --> y) (δ : invertible_2cell (cp · f) (h · g)) (cone := make_pb_cone c cp h δ), pred_ob D f → pred_mor D (cp · f) f cp → pred_mor D (cp · f) g h → pred_mor D (cp · f) (p₁ · f) (pb_ump_mor H cone).
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