fact: Definition strictness_structure_laws {B : bicat} (S : strictness_structure_data B) : UU := (∏ (a b : B) (f : a --> b), pr1 (idtoiso_2_1 _ _ (plunitor S f)) = lunitor f) × (∏ (a b : B) (f : a --> b), pr1 (idtoiso_2_1 _ _ (prunitor S f)) = runitor f) × (∏ (a b c d : B) (f : a --> b) (g : b --> c) (h : c --> d), pr1 (idtoiso_2_1 _ _ (plassociator S f g h)) = lassociator f g h).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.TwoCategories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Categories.HSET.All UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Unitors UniMath.Bicategories.Core.Examples.BicatOfUnivCats UniMath.Bicategories.Core.Univalence UniMath.Bicategories.Core.Invertible_2cells UniMath.Bicategories.Morphisms.Adjunctions UniMath.Bicategories.Core.BicategoryLaws UniMath.Bicategories.Core.TransportLaws