Definition from_op1_em_cone : kleisli_cocone m. Proof. use make_kleisli_cocone. - exact e. - exact h. - exact (γ • runitor _). - abstract (cbn ; rewrite lwhisker_id2 in p₁ ; rewrite id2_right in p₁ ; rewrite !vassocr ; use vcomp_move_R_Mp ; [ is_iso | ] ; cbn ; use vcomp_move_L_pM ; [ is_iso | ] ; cbn ; rewrite !vassocr ; exact (!p₁)). - abstract (rewrite !vassocr ; refine (_ @ maponpaths (λ z, z • _) p₂) ; rewrite !vassocl ; apply maponpaths ; rewrite !vassocr ; apply maponpaths_2 ; rewrite <- !lwhisker_vcomp ; rewrite !vassocl ; apply maponpaths ; rewrite runitor_triangle ; rewrite vcomp_runitor ; rewrite !vassocr ; apply maponpaths_2 ; rewrite <- runitor_triangle ; rewrite !vassocr ; rewrite lassociator_rassociator ; rewrite id2_left ; apply idpath). 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.BicategoryLaws. Require Import UniMath.Bicategories.Core.Unitors. Require Import UniMath.Bicategories.Core.TransportLaws. Require Import UniMath.Bicategories.Core.Univalence. Require Import UniMath.Bicategories.Core.Examples.OpMorBicat. Require Import UniMath.Bicategories.DisplayedBicats.DispBicat. Import DispBicat.Notations. Require Import UniMath.Bicategories.DisplayedBicats.Examples.MonadsLax. Require Import UniMath.Bicategories.PseudoFunctors.Display.PseudoFunctorBicat. Require Import UniMath.Bicategories.PseudoFunctors.PseudoFunctor. Import PseudoFunctor.Notations. Require Import UniMath.Bicategories.PseudoFunctors.Examples.MonadInclusion. Require Import UniMath.Bicategories.Limits.EilenbergMooreObjects. Require Import UniMath.Bicategories.Colimits.KleisliObjects. Require Import UniMath.Bicategories.Monads.Examples.MonadsInOp1Bicat.