Definition is_cartesian_2cell_invertible_unique {h : x --> a} {γ : h ==> g₂} {δp : h · f₂ ==> g₁ · f₂} (q : γ ▹ f₂ = δp • (α ▹ f₂)) : isaprop (∑ (δ : h ==> g₁), δ ▹ f₂ = δp × δ • α = γ).
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Core.Unitors. Require Import UniMath.Bicategories.Core.BicategoryLaws. Require Import UniMath.Bicategories.Core.EquivToAdjequiv. Require Import UniMath.Bicategories.Morphisms.Adjunctions. Require Import UniMath.Bicategories.Morphisms.FullyFaithful. Require Import UniMath.Bicategories.Morphisms.DiscreteMorphisms. Require Import UniMath.Bicategories.Morphisms.InternalStreetFibration. Section InvertibleFromInternalSFib. End InvertibleFromInternalSFib.