fact: Definition closed_under_comp : UU := ∏ (e₁ e₂ e₃ b₁ b₂ b₃ : B) (p₁ : e₁ --> b₁) (p₂ : e₂ --> b₂) (p₃ : e₃ --> b₃) (fe : e₁ --> e₂) (ge : e₂ --> e₃), P₁ p₁ p₂ fe → P₁ p₂ p₃ ge → P₁ p₁ p₃ (fe · ge).
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