proposition: Lemma RelMonad_identity_laws {C : precategory_data} {D : precategory} {J : functor_data C D} (R : RelMonad_data J): RelMonadMor_axioms (λ a : C, identity (R a)).
proof: Proof. split; simpl; intros c. - apply id_right. - intros. do 2 rewrite id_right; apply id_left. Defined.
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.MoreFoundations.Tactics UniMath.MoreFoundations.PartA UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Adjunctions.Core