Goal:
  
  G1 : t
  ext : EdgeSet.t
  _x_ : Edge.t
  _a_ : V.t
  _b_ : Z
  _b1_ : V.t
  _x1_ : VSet.t
  _y_ : VSet.t
  ============================
   (VSet.Equal (VSet.add _a_ _y_) (VSet.add _a_ _y_))


DEBUG:Going to execute:
trivial; hnf; intros; (solve
            [ do
            ![ solve
             [ trivial | apply : eq_sym ; trivial ]
             | discriminate
             | contradiction
             | Ltac.split ]
            | case not_locked_false_eq_true; Ltac.assumption
            | match goal with
              | H:~ _ |- _ => solve [ case H; trivial ]
              end ])