Definition pb_of_faithful_1cell {B : bicat} {x₁ x₂ y₁ y₂ : B} {p₁ : x₁ --> y₁} {p₂ : x₁ --> x₂} {f : y₁ --> y₂} {g : x₂ --> y₂} {γ : invertible_2cell (p₁ · f) (p₂ · g)} (pb := make_pb_cone x₁ p₁ p₂ γ) (H : has_pb_ump pb) (Hf : faithful_1cell f) : faithful_1cell p₂.
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.Examples.OpCellBicat. 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.Composition. Require Import UniMath.Bicategories.Limits.Pullbacks. Require Import UniMath.Bicategories.Limits.Examples.OpCellBicatLimits. Section FromPBCartesian. End FromPBCartesian.