fact: Definition are_conjoints {B : verity_double_bicat} {x y : B} (h : x --> y) (v : y -|-> x) : UU := ∑ (η : square_double_bicat h (id_h x) (id_v x) v) (ε : square_double_bicat (id_h y) h v (id_v y)), (rinvunitor _ ◃s (lunitor _ ▹s ε ⋆v η) = id_h_square_bicat _) × (lunitor _ ▿s (rinvunitor _ ▵s (η ⋆h ε)) = id_v_square_bicat _).
imports: UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Prelude UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Unitors UniMath.Bicategories.Core.Invertible_2cells UniMath.Bicategories.Core.Univalence UniMath.Bicategories.Core.BicategoryLaws UniMath.Bicategories.Morphisms.Adjunctions UniMath.Bicategories.DoubleCategories.DoubleBicat.VerityDoubleBicat UniMath.Bicategories.DoubleCategories.DoubleBicat.DerivedLaws UniMath.Bicategories.DoubleCategories.DoubleBicat.CellsAndSquares UniMath.Bicategories.DoubleCategories.DoubleBicat.UnderlyingCats UniMath.Bicategories.DoubleCategories.DoubleBicat.LocalUnivalence UniMath.Bicategories.DoubleCategories.DoubleBicat.CompanionPairs UniMath.Bicategories.DoubleCategories.DoubleBicat.CompanionPairUnique UniMath.Bicategories.DoubleCategories.Examples.HorizontalDual