fact: Definition idtoiso_equalizer_of_setcategory {C₁ C₂ : setcategory} (F G : C₁ ⟶ C₂) {x y : equalizer_of_setcategory F G} (p : x = y) : pr11 (idtoiso p) = pr1 (idtoiso (maponpaths pr1 p)).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Setcategories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Categories.CategoryOfSetCategories UniMath.CategoryTheory.Limits.Equalizers