fact: Definition pair_disp_invertible_to_sigma_disp_invertible {x y : C} {f : C ⟦ x, y ⟧} {xx : (sigma_bicat C D₁ D₂) x} {yy : (sigma_bicat C D₁ D₂) y} {ff1 : pr1 xx -->[ f] pr1 yy} (ff2 : pr2 xx -->[ f,, ff1] pr2 yy) {gg1 : pr1 xx -->[ f] pr1 yy} (gg2 : pr2 xx -->[ f,, gg1] pr2 yy) : (∑ (p : disp_invertible_2cell (id2_invertible_2cell f) ff1 gg1), disp_invertible_2cell (iso_in_E_weq _ _ (id2_invertible_2cell f ,, p)) ff2 gg2) → @disp_invertible_2cell C (sigma_prebicat C D₁ D₂) _ _ _ _ _ _ (id2_invertible_2cell f) (ff1,, ff2) (gg1,, gg2).
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