fact: Definition pb_ump_2 : UU := ∏ (q : B) (φ ψ : q --> p) (α : φ · pb_cone_pr1 p ==> ψ · pb_cone_pr1 p) (β : φ · pb_cone_pr2 p ==> ψ · pb_cone_pr2 p) (r : (φ ◃ pb_cone_cell p) • lassociator _ _ _ • (β ▹ g) • rassociator _ _ _ = lassociator _ _ _ • (α ▹ f) • rassociator _ _ _ • (ψ ◃ pb_cone_cell p)), ∃! (γ : φ ==> ψ), (γ ▹ pb_cone_pr1 p = α) × (γ ▹ pb_cone_pr2 p = β).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Invertible_2cells UniMath.Bicategories.Core.Univalence