Definition pseudomonic_1cell_weq_pseudomonic {B : bicat} {a b : B} (f : a --> b) : (pseudomonic_1cell f) ≃ (∏ (z : B), pseudomonic (post_comp z f)). Proof. use weqimplimpl. - exact (pseudomonic_1cell_to_pseudomonic f). - exact (pseudomonic_to_pseudomonic_1cell f). - exact (isaprop_pseudomonic_1cell f). - use impred ; intro. apply isaprop_pseudomonic. 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.CategoryTheory.Core.Isos. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Invertible_2cells.