fact: Definition PreSwitch (SOM : SubsetsOfMors) {x y z : ob C} (s : x --> y) (e : SOM x y s) (f g : y --> z) (H : s · f = s · g) : UU := ∑ D : (∑ (w : ob C), C⟦z, w⟧), (SOM z (pr1 D) (pr2 D)) × (f · (pr2 D) = g · (pr2 D)).
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Functors