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
  H : VSet.In i (VSet.add x (nodes G (PathOf_add_end p e)))
  source_vertex0 : VSet.In (s G) (V G)
  ============================
   (VSet.In i (VSet.add x (nodes G p)) \/ i = z0)


DEBUG:Going to execute:
match goal with
           | H:forall a : V.t, _, _:context [ VSet.In ?x _ ]
             |- _ => let P := type of (H x) in
                     assert
                     new
                     P
                     by
                     exact
                     (H x)
           | H:forall a : V.t, _
             |- context [ VSet.In ?x _ ] =>
                 let P := type of (H x) in
                 assert
                 new
                 P
                 by
                 exact
                 (H x)
           | H:forall a : V.t, _, _:context [ ?x = _ ]
             |- _ => let P := type of (H x) in
                     assert
                     new
                     P
                     by
                     exact
                     (H x)
           | H:forall a : V.t, _
             |- context [ ?x = _ ] =>
                 let P := type of (H x) in
                 assert
                 new
                 P
                 by
                 exact
                 (H x)
           | H:forall a : V.t, _, _:context [ _ = ?x ]
             |- _ => let P := type of (H x) in
                     assert
                     new
                     P
                     by
                     exact
                     (H x)
           | H:forall a : V.t, _
             |- context [ _ = ?x ] =>
                 let P := type of (H x) in
                 assert
                 new
                 P
                 by
                 exact
                 (H x)
           end