Definition is_distr_law_weq_is_distr_law_op (α : g · f ==> f · g) : is_distr_law α ≃ is_distr_law_op α. Proof. use weqimplimpl. - exact (is_distr_law_to_is_distr_law_op α). - exact (is_distr_law_op_to_is_distr_law α). - apply isaprop_is_distr_law. - apply isaprop_is_distr_law_op. Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.BicategoryLaws. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Core.Unitors. Require Import UniMath.Bicategories.DisplayedBicats.DispBicat. Import DispBicat.Notations. Require Import UniMath.Bicategories.DisplayedBicats.Examples.MonadsLax. Require Import UniMath.Bicategories.Monads.Examples.MonadsInOp1Bicat. Section FunctorsFromDistrLawOp. End FunctorsFromDistrLawOp.