proposition: Proposition isaprop_form_disp_adjunction_id {C : category} {D₁ D₂ : disp_cat C} (F : disp_functor (functor_identity C) D₁ D₂) (HF : right_adjoint_over_id_data F) : isaprop (form_disp_adjunction_id HF).
proof: Proof. use isapropdirprod ; do 2 (use impred ; intro). - apply D₂. - apply D₁. Qed.
imports: UniMath.Foundations.Sets UniMath.MoreFoundations.PartA UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.Equivalences.Core UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Functors UniMath.CategoryTheory.DisplayedCats.NaturalTransformations UniMath.CategoryTheory.DisplayedCats.Isos UniMath.CategoryTheory.DisplayedCats.Fiber