Goal:
  
  G1 : t
  ext : EdgeSet.t
  _x_ : Edge.t
  _a_ : V.t
  _b_ : Z
  _b1_ : V.t
  _x1_ : VSet.t
  _y_ : VSet.t
  a : VSet.elt
  ============================
   (VSet.In a (VSet.add _a_ _y_) <-> VSet.In a (VSet.add _a_ _y_))


DEBUG:Going to execute:
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 ]