fact: Definition cat_with_terminal_cleaving_left_adjoint_equivalence {C₁ C₂ : cat_with_terminal_cleaving} (F : functor_with_terminal_cleaving C₁ C₂) (HF₁ : adj_equivalence_of_cats F) (A := (_ ,, HF₁) : adj_equiv C₁ C₂) (HF₂ : is_equiv_over A (comp_cat_type_functor F)) : left_adjoint_equivalence F.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Prelude UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.Equivalences.Core UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Functors UniMath.CategoryTheory.DisplayedCats.NaturalTransformations UniMath.CategoryTheory.DisplayedCats.Fibrations UniMath.CategoryTheory.DisplayedCats.Univalence UniMath.CategoryTheory.DisplayedCats.Equivalences UniMath.Bicategories.Core.Bicat UniMath.Bicategories.ComprehensionCat.BicatOfCompCat.DispCatTerminal UniMath.Bicategories.DisplayedBicats.DispBicat UniMath.Bicategories.DisplayedBicats.DispUnivalence UniMath.Bicategories.DisplayedBicats.Examples.Sub1Cell