Definition comp_pred_mor {e₁ e₂ e₃ b₁ b₂ b₃ : B} {p₁ : e₁ --> b₁} {p₂ : e₂ --> b₂} {p₃ : e₃ --> b₃} {fe : e₁ --> e₂} {ge : e₂ --> e₃} (Hfe : pred_mor p₁ p₂ fe) (Hge : pred_mor p₂ p₃ ge) : pred_mor p₁ p₃ (fe · ge) := pr1 (pr222 D) _ _ _ _ _ _ _ _ _ _ _ Hfe Hge.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Core.Univalence. Require Import UniMath.Bicategories.Morphisms.Adjunctions. Require Import UniMath.Bicategories.Morphisms.FullyFaithful. Require Import UniMath.Bicategories.Morphisms.DiscreteMorphisms. Require Import UniMath.Bicategories.Morphisms.InternalStreetFibration. Require Import UniMath.Bicategories.Morphisms.InternalStreetOpFibration. Require Import UniMath.Bicategories.Morphisms.Properties.ContainsAdjEquiv. Require Import UniMath.Bicategories.Morphisms.Properties.Composition. Require Import UniMath.Bicategories.Morphisms.Properties.ClosedUnderPullback. Require Import UniMath.Bicategories.Morphisms.Properties.FromInitial. Require Import UniMath.Bicategories.Colimits.Initial. Require Import UniMath.Bicategories.Limits.Pullbacks.