fact: Definition iso_inserter_ump_eq_alt {x : B} {u₁ u₂ : x --> cone} (φ₁ φ₂ : u₁ ==> u₂) (p : rassociator _ _ _ • (u₁ ◃ iso_inserter_cone_cell cone) • lassociator _ _ _ • (φ₁ ▹ iso_inserter_cone_pr1 cone ▹ g) = (φ₁ ▹ iso_inserter_cone_pr1 cone ▹ f) • rassociator _ _ _ • (u₂ ◃ iso_inserter_cone_cell cone) • lassociator _ _ _) (q : φ₁ ▹ iso_inserter_cone_pr1 cone = φ₂ ▹ iso_inserter_cone_pr1 cone) : φ₁ = φ₂.
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