(*SUBJECT, Property and TransFunc*)
Ltac OpDontChangeStPSS :=
  intros s t Sub SS TF; inversion TF;
   match goal with
   | id:(s = t) |- _ => rewrite <- id; auto
   end.Ltac OpDontChangeStPSP :=
  intros s t Sub SP TF;  (* SUBJECT, Property and TransFunc *)
   inversion TF; match goal with
                 | id:(s = t) |- _ => rewrite <- id; auto
                 end.Ltac StartPSS := intros s t Sub SS TF; inversion TF.Ltac BreakSS :=
  match goal with
  | SS:(SecureState _) |- _ =>
      unfold SecureState in SS; elim SS; intros DAC MAC
  end.Ltac StartPSP := intros s t Sub SP TF; inversion TF.

Lemma TwoImpLeft : forall (s : SFSstate) (u : SUBJECT), (forall rw : ReadersWriters, set_In rw (ransecmat (secmat s)) -> ~ set_In u (ActReaders rw) /\ ~ set_In u (ActWriters rw)) -> forall rw : ReadersWriters, set_In rw (ransecmat (secmat s)) -> ~ set_In u (ActReaders rw).