fact: Definition has_iso_inserter_ump_2 : UU := ∏ (x : B) (u₁ u₂ : x --> cone) (α : u₁ · iso_inserter_cone_pr1 cone ==> u₂ · iso_inserter_cone_pr1 cone) (p : rassociator _ _ _ • (u₁ ◃ iso_inserter_cone_cell cone) • lassociator _ _ _ • (α ▹ g) = (α ▹ f) • rassociator _ _ _ • (u₂ ◃ iso_inserter_cone_cell cone) • lassociator _ _ _), ∑ (ζ : u₁ ==> u₂), ζ ▹ iso_inserter_cone_pr1 cone = α.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.Equivalences.Core UniMath.CategoryTheory.Equivalences.FullyFaithful UniMath.CategoryTheory.Categories.CatIsoInserter UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Invertible_2cells UniMath.Bicategories.Core.Univalence UniMath.Bicategories.Core.AdjointUnique UniMath.Bicategories.Core.Examples.BicatOfUnivCats UniMath.Bicategories.Morphisms.Adjunctions UniMath.Bicategories.Morphisms.FullyFaithful UniMath.Bicategories.Morphisms.DiscreteMorphisms