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


DEBUG:Going to execute:
repeat
            match goal with
            | |- context [ True -> False ] =>
                  rewrite -> Decidable.not_true_iff
            | |- context [ False -> False ] =>
                  rewrite -> Decidable.not_false_iff
            | |- context [ (?P -> False) -> False ] =>
                  rewrite -> (Decidable.not_not_iff P) by dec
            | |- context [ (?P -> False) -> ?Q -> False ] =>
                  rewrite -> (Decidable.contrapositive P Q) by dec
            | |- context [ (?P -> False) \/ ?Q ] =>
                  VSetDecide.MSetLogicalFacts.or_not_l_iff P Q dec
            | |- context [ ?P \/ (?Q -> False) ] =>
                  VSetDecide.MSetLogicalFacts.or_not_r_iff P Q dec
            | |- context [ (?P -> False) -> ?Q ] =>
                  rewrite -> (Decidable.imp_not_l P Q) by dec
            | |- context [ ?P \/ ?Q -> False ] =>
                  rewrite -> (Decidable.not_or_iff P Q)
            | |- context [ ?P /\ ?Q -> False ] =>
                  rewrite -> (Decidable.not_and_iff P Q)
            | |- context [ (?P -> ?Q) -> False ] =>
                  rewrite -> (Decidable.not_imp_iff P Q) by dec
            end