Definition from_is_opcartesian_2cell_comp_rwhisker {B : bicat} {a b c : B} {f : a --> b} (Hf : internal_sopfib f) {g : b --> c} (Hg : internal_sopfib g) {z : B} {h₁ h₂ : z --> a} {α : h₁ ==> h₂} (Hα : is_opcartesian_2cell_sopfib (f · g) α) : is_opcartesian_2cell_sopfib g (α ▹ f). Proof. use is_cartesian_to_is_opcartesian_sfib. use from_is_cartesian_2cell_comp_rwhisker. - apply internal_sopfib_is_internal_sfib. exact Hf. - apply internal_sopfib_is_internal_sfib. exact Hg. - use is_opcartesian_to_is_cartesian_sfib. exact Hα. Defined.
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.Core.Univalence. Require Import UniMath.Bicategories.Core.AdjointUnique. Require Import UniMath.Bicategories.Morphisms.Adjunctions. Require Import UniMath.Bicategories.Morphisms.FullyFaithful. Require Import UniMath.Bicategories.Morphisms.DiscreteMorphisms. Require Import UniMath.Bicategories.Morphisms.InternalStreetFibration. Require Import UniMath.Bicategories.Morphisms.InternalStreetOpFibration. Section FromCompCartesian. End FromCompCartesian.