fact: Definition equiv_of_is_equiv_over {C C' : category} (E : adj_equiv C C') {D : disp_cat C} {D': disp_cat C'} {FF : disp_functor (left_functor E) D D'} (EE : is_equiv_over E FF) : equiv_over E D D' := (adjunction_of_right_adjoint_over _ EE ,, pr2 EE).
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