fact: Definition dialgebra_equivalence_of_cats_inv_nat_trans_data : nat_trans_data (dialgebra_pr1 F' G' ∙ R ∙ F) (dialgebra_pr1 F' G' ∙ R ∙ G) := λ x, η' (F (R (pr1 x))) · #R' (αinv _ · #F' (ε _) · pr2 x · #G' (εinv _) · β _) · ηinv' _.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.Equivalences.Core UniMath.CategoryTheory.Equivalences.CompositesAndInverses UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Total UniMath.CategoryTheory.DisplayedCats.Constructions UniMath.CategoryTheory.DisplayedCats.Projection UniMath.CategoryTheory.DisplayedCats.Isos UniMath.CategoryTheory.DisplayedCats.Univalence