fact: Definition build_nat_trans_to_dialgebra {C₁ C₂ C₃ : category} {F G : C₂ ⟶ C₃} (K₁ K₂ : C₁ ⟶ dialgebra F G) (α : K₁ ∙ dialgebra_pr1 F G ⟹ K₂ ∙ dialgebra_pr1 F G) (p : ∏ (x : C₁), pr2 (K₁ x) · # G (α x) = # F (α x) · pr2 (K₂ x)) : K₁ ⟹ K₂.
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