Goal:
  
  s : VSet.t
  s' : VSet.t
  s'' : VSet.t
  da : forall a : V.t, VSet.In a s -> VSet.In a s'
  i : V.t
  disj : VSet.In i (VSet.inter s' s'') -> False
  ininter : VSet.In i (VSet.inter s s'')
  ============================
   (VSet.In i (VSet.inter s' s''))


DEBUG:Going to execute:
repeat
            match goal with
            | H:forall a : V.t, _, _:context [ VSet.In ?x _ ]
              |- _ => let P := type of (H x) in
                      assert
                      new
                      P
                      by
                      exact
                      (H x)
            | H:forall a : V.t, _
              |- context [ VSet.In ?x _ ] =>
                  let P := type of (H x) in
                  assert
                  new
                  P
                  by
                  exact
                  (H x)
            | H:forall a : V.t, _, _:context [ ?x = _ ]
              |- _ => let P := type of (H x) in
                      assert
                      new
                      P
                      by
                      exact
                      (H x)
            | H:forall a : V.t, _
              |- context [ ?x = _ ] =>
                  let P := type of (H x) in
                  assert
                  new
                  P
                  by
                  exact
                  (H x)
            | H:forall a : V.t, _, _:context [ _ = ?x ]
              |- _ => let P := type of (H x) in
                      assert
                      new
                      P
                      by
                      exact
                      (H x)
            | H:forall a : V.t, _
              |- context [ _ = ?x ] =>
                  let P := type of (H x) in
                  assert
                  new
                  P
                  by
                  exact
                  (H x)
            end