fact: Definition hor_left_adjoint_equivalence_weq_gregarious_equivalence (HB_2_1 : locally_univalent_verity_double_bicat B) (H : weakly_hor_invariant B) (H' : vertically_saturated B) {x y : B} (h : x --> y) : left_adjoint_equivalence h ≃ ∑ (v : x -|-> y), is_gregarious_equivalence h v := (is_hor_gregarious_equivalence_weq_is_gregarious_equivalence h ∘ hor_left_adjoint_equivalence_weq_hor_gregarious_equivalence HB_2_1 H H' h)%weq.
imports: UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Prelude UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat UniMath.CategoryTheory.TwoSidedDisplayedCats.Isos UniMath.CategoryTheory.TwoSidedDisplayedCats.Univalence UniMath.CategoryTheory.TwoSidedDisplayedCats.Discrete UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Unitors UniMath.Bicategories.Morphisms.Adjunctions UniMath.Bicategories.Core.AdjointUnique UniMath.Bicategories.Core.Univalence UniMath.Bicategories.DoubleCategories.DoubleBicat.VerityDoubleBicat UniMath.Bicategories.DoubleCategories.DoubleBicat.DerivedLaws UniMath.Bicategories.DoubleCategories.DoubleBicat.UnderlyingCats UniMath.Bicategories.DoubleCategories.DoubleBicat.CellsAndSquares UniMath.Bicategories.DoubleCategories.DoubleBicat.LocalUnivalence UniMath.Bicategories.DoubleCategories.DoubleBicat.CompanionPairs UniMath.Bicategories.DoubleCategories.DoubleBicat.CompanionPairUnique UniMath.Bicategories.DoubleCategories.DoubleBicat.CompanionPairAdjEquiv