proposition: Lemma isaprop_left_adjoint_equivalence {C : bicat} {X Y : C} (f : X --> Y) : is_univalent_2_1 C → isaprop (left_adjoint_equivalence f).
proof: Proof. intros HU. apply invproofirrelevance. intros A1 A2. apply unique_internal_adjoint_equivalence. assumption. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Unitors UniMath.Bicategories.Morphisms.Adjunctions UniMath.Bicategories.Core.Invertible_2cells UniMath.Bicategories.Core.BicategoryLaws UniMath.Bicategories.Core.Univalence UniMath.Bicategories.Core.TransportLaws UniMath.Bicategories.Core.EquivToAdjequiv