proposition: Lemma lax_monoidal_functors_Pisset (F : C ⟶ D) : isaset (fmonoidal_lax M N F).
proof: Proof. change isaset with (isofhlevel 2). apply isofhleveltotal2. { apply isasetdirprod. - apply impred; intro x; apply impred; intro y. apply D. - apply D. } intro fmd. apply isasetaprop. apply isaprop_fmonoidal_laxlaws. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors UniMath.CategoryTheory.Monoidal.Categories UniMath.CategoryTheory.Monoidal.Functors UniMath.CategoryTheory.Monoidal.Structure.Symmetric UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Constructions UniMath.CategoryTheory.DisplayedCats.Total UniMath.CategoryTheory.DisplayedCats.Examples.Sigma UniMath.CategoryTheory.DisplayedCats.SIP UniMath.CategoryTheory.DisplayedCats.Univalence UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Monads.Comonads