Definition comp_preserves_cartesian {B : bicat} {e₁ b₁ e₂ b₂ e₃ b₃ : B} {p₁ : e₁ --> b₁} {p₂ : e₂ --> b₂} {p₃ : e₃ --> b₃} {fe₁ : e₁ --> e₂} {fe₂ : e₂ --> e₃} (H₁ : mor_preserves_cartesian p₁ p₂ fe₁) (H₂ : mor_preserves_cartesian p₂ p₃ fe₂) : mor_preserves_cartesian p₁ p₃ (fe₁ · fe₂).
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.DisplayedCats.StreetFibration. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Core.Univalence.