fact: Definition sym_mon_cat_laws_tensored (V : monoidal_cat) (c : ∏ (x y : V), x ⊗ y --> y ⊗ x) : UU := (∏ (x y : V), c x y · c y x = identity _) × (∏ (x₁ x₂ y₁ y₂ : V) (f : x₁ --> x₂) (g : y₁ --> y₂), f #⊗ g · c x₂ y₂ = c x₁ y₁ · g #⊗ f) × (∏ (x y z : V), mon_lassociator x y z · c x (y ⊗ z) · mon_lassociator y z x = c x y #⊗ identity z · mon_lassociator y x z · identity y #⊗ c x z).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors UniMath.CategoryTheory.Monoidal.Categories