fact: Definition disp_left_adjoint_axioms {a b : C} {f : a --> b} (j : left_adjoint f) {aa : D a} {bb : D b} {ff : aa -->[f] bb} (ααd : disp_left_adjoint_data j ff) : UU := let gg := disp_left_adjoint_right_adjoint j ααd in let ηη := disp_left_adjoint_unit j ααd in let εε := disp_left_adjoint_counit j ααd in ( disp_linvunitor ff •• (ηη ▹▹ ff) •• disp_rassociator _ _ _ •• (ff ◃◃ εε) •• disp_runitor ff = transportb (λ x, _ ==>[x] _) (internal_triangle1 j) (disp_id2 ff) ) × ( disp_rinvunitor gg •• (gg ◃◃ ηη) •• disp_lassociator _ _ _ •• (εε ▹▹ gg) •• disp_lunitor gg = transportb (λ x, _ ==>[x] _) (internal_triangle2 j) (disp_id2 gg) ).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.Bicategories.Core.Bicat UniMath.CategoryTheory.DisplayedCats.Core UniMath.Bicategories.Core.EquivToAdjequiv UniMath.Bicategories.DisplayedBicats.DispBicat UniMath.Bicategories.Core.Unitors UniMath.Bicategories.Core.Univalence UniMath.Bicategories.Core.AdjointUnique UniMath.Bicategories.Morphisms.Adjunctions UniMath.Bicategories.Core.Invertible_2cells UniMath.Bicategories.DisplayedBicats.DispInvertibles