fact: Definition pair_disp_adjequiv_to_sigma_disp_adjequiv_weq {x : C} (xx : (sigma_bicat C D₁ D₂) x) (yy : (sigma_bicat C D₁ D₂) x) : (∑ (p : disp_adjoint_equivalence (internal_adjoint_equivalence_identity x) (pr1 xx) (pr1 yy)), disp_adjoint_equivalence (invmap (adjoint_equivalence_total_disp_weq (pr1 xx) (pr1 yy)) (internal_adjoint_equivalence_identity x ,, p)) (pr2 xx) (pr2 yy)) ≃ disp_adjoint_equivalence (internal_adjoint_equivalence_identity x) xx yy.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Constructions UniMath.Bicategories.Core.Bicat UniMath.Bicategories.DisplayedBicats.DispBicat UniMath.Bicategories.Core.EquivToAdjequiv UniMath.Bicategories.Core.AdjointUnique UniMath.Bicategories.DisplayedBicats.DispInvertibles UniMath.Bicategories.DisplayedBicats.DispAdjunctions UniMath.Bicategories.DisplayedBicats.DispUnivalence