Goal:
  
  x : V.t
  s1 : VSet.t
  s2 : VSet.t
  addx : VSetProp.Add x s1 s2
  xnotins1 : ~ VSet.In x s1
  ============================
   (VSetProp.Add x s1 (VSet.add x s2))


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 ])