Definition locally_grpd_preserves_cartesian {B : bicat} (HB : locally_groupoid B) {e₁ b₁ e₂ b₂ : B} (p₁ : e₁ --> b₁) (p₂ : e₂ --> b₂) (fe : e₁ --> e₂) : mor_preserves_cartesian p₁ p₂ fe. Proof. intro ; intros. apply (locally_grpd_cartesian HB). Defined.
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.