fact: Definition fmonoidal_laxlaws {C D : category} {M : monoidal C} {N : monoidal D} {F : functor C D} (fmd : fmonoidal_data M N F) : UU := (preserves_tensor_nat_left (fmonoidal_preservestensordata fmd)) × (preserves_tensor_nat_right (fmonoidal_preservestensordata fmd)) × (preserves_associativity (fmonoidal_preservestensordata fmd)) × (preserves_leftunitality (fmonoidal_preservestensordata fmd) (fmonoidal_preservesunit fmd)) × (preserves_rightunitality (fmonoidal_preservestensordata fmd) (fmonoidal_preservesunit fmd)).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors UniMath.CategoryTheory.Monoidal.Categories UniMath.CategoryTheory.Monoidal.Structure.Symmetric