Goal:
  
  G : t
  HI : invariants G
  HG : acyclic_no_loop G
  z : V.t
  x : V.t
  e : EdgeOf G x z
  i : VSet.elt
  H : VSet.In i (VSet.add x VSet.empty)
  ============================
   (VSet.In i VSet.empty \/ i = x)


DEBUG:Going to execute:
match goal with
           | |- context [ VSet.singleton ?t ] =>
                 VSetDecide.MSetDecideAuxiliary.abstract_term t
           | _:context [ VSet.singleton ?t ]
             |- _ => VSetDecide.MSetDecideAuxiliary.abstract_term t
           | |- context [ VSet.add ?t _ ] =>
                 VSetDecide.MSetDecideAuxiliary.abstract_term t
           | _:context [ VSet.add ?t _ ]
             |- _ => VSetDecide.MSetDecideAuxiliary.abstract_term t
           | |- context [ VSet.remove ?t _ ] =>
                 VSetDecide.MSetDecideAuxiliary.abstract_term t
           | _:context [ VSet.remove ?t _ ]
             |- _ => VSetDecide.MSetDecideAuxiliary.abstract_term t
           | |- context [ VSet.In ?t _ ] =>
                 VSetDecide.MSetDecideAuxiliary.abstract_term t
           | _:context [ VSet.In ?t _ ]
             |- _ => VSetDecide.MSetDecideAuxiliary.abstract_term t
           end