Goal:
  
  G : t
  z : V.t
  x : V.t
  y : V.t
  z0 : V.t
  p : PathOf G y z0
  e : EdgeOf G z0 z
  i : V.t
  source_vertex0 : VSet.In (s G) (V G)
  H0 : VSet.In i (nodes G (PathOf_add_end p e))
  ============================
   (i = z0)


DEBUG:Going to execute:
repeat
            match goal with
            | H:?x = ?x |- _ => clear H
            | H:?x = ?y |- _ => rewrite -> H in *; clear H
            end; autorewrite with set_eq_simpl in *