proposition: Lemma fully_faithful_from_equivalence : fully_faithful F.
proof: Proof. unfold fully_faithful. intros a b. apply (isweq_iso _ (@inverse a b)). - apply inverse_is_inverse_1. - apply inverse_is_inverse_2. Qed.
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.Equivalences.Core