Definition eq_is_invertible_2cell {B : bicat} {a b : B} {f g : a --> b} {α β : f ==> g} (p : α = β) (Hα : is_invertible_2cell α) : is_invertible_2cell β. Proof. use make_is_invertible_2cell. - exact (Hα^-1). - abstract (rewrite <- p ; apply vcomp_rinv). - abstract (rewrite <- p ; apply vcomp_linv). 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.Core.Functors. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations.