Goal:
    x : V.t  s : VSet.t  y : V.t
  ============================
   ((x = y \/ VSet.In y s -> x = y \/ VSet.In y s /\ (x = y -> False)) /\
    (x = y \/ VSet.In y s /\ (x = y -> False) -> x = y \/ VSet.In y s))


DEBUG:Going to execute:
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