fact: Definition right_cons_graph_zig_zag {g : graph} {x z y : vertex g} (f : edge z x) (gs : graph_zig_zag z y) : graph_zig_zag x y := 1 + length_of_graph_zig_zag gs ,, (z ,, (inr f ,, pr2 gs)).
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.MoreFoundations.Tactics UniMath.MoreFoundations.Propositions UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.Adjunctions.Core