Definition comp_pb_2cell {p q : pb_cone} {φ ψ χ : pb_1cell p q} (η₁ : pb_2cell φ ψ) (η₂ : pb_2cell ψ χ) : pb_2cell φ χ. Proof. use make_pb_2cell. - exact (η₁ • η₂). - abstract (rewrite <- rwhisker_vcomp ; rewrite vassocl ; rewrite !pb_2cell_pr1 ; apply idpath). - abstract (rewrite <- rwhisker_vcomp ; rewrite vassocl ; rewrite !pb_2cell_pr2 ; apply idpath). Defined.
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.Univalence.