proposition: Lemma precategory_skewMonoid_axioms : is_precategory precategory_skewMonoid_data.
proof: Proof. repeat split; simpl; intros. - apply (invmap (skewMonoid_Mor_equiv _ _ )). apply id_left. - apply (invmap (skewMonoid_Mor_equiv _ _ )). apply id_right. - apply (invmap (skewMonoid_Mor_equiv _ _ )). apply assoc. - apply (invmap (skewMonoid_Mor_equiv _ _ )). apply assoc'. Qed.
imports: UniMath.Foundations.PartD UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.SkewMonoidal.SkewMonoidalCategories