(* Specifications: *)
Lemma CreatePSS : forall (s t : SFSstate) (u : SUBJECT), FuncPre1 s -> FuncPre2 s -> FuncPre3 s -> SecureState s -> TransFunc u s Create t -> SecureState t.
Lemma CreatePSP : forall (s t : SFSstate) (u : SUBJECT), FuncPre1 s -> FuncPre2 s -> FuncPre3 s -> StarProperty s -> TransFunc u s Create t -> StarProperty t.
Lemma CreatePCP : forall s t : SFSstate, FuncPre1 s -> FuncPre2 s -> PreservesControlProp s Create t.
Lemma StatPSS : forall (s t : SFSstate) (u : SUBJECT), SecureState s -> TransFunc u s Stat t -> SecureState t.
Lemma StatPSP : forall (s t : SFSstate) (u : SUBJECT), StarProperty s -> TransFunc u s Stat t -> StarProperty t.
Lemma StatPCP : forall s t : SFSstate, PreservesControlProp s Stat t.
Lemma DelUsrGrpFromAclPSS : forall (s t : SFSstate) (u : SUBJECT), SecureState s -> TransFunc u s DelUsrGrpFromAcl t -> SecureState t.
Lemma DelUsrGrpFromAclPSP : forall (s t : SFSstate) (u : SUBJECT), StarProperty s -> TransFunc u s DelUsrGrpFromAcl t -> StarProperty t.
Lemma DelUsrGrpFromAclPCP : forall s t : SFSstate, PreservesControlProp s DelUsrGrpFromAcl t.
Lemma ChmodPSS : forall (s t : SFSstate) (u : SUBJECT), SecureState s -> TransFunc u s Chmod t -> SecureState t.
Lemma ChmodPSP : forall (s t : SFSstate) (u : SUBJECT), StarProperty s -> TransFunc u s Chmod t -> StarProperty t.
Lemma ChmodPCP : forall s t : SFSstate, PreservesControlProp s Chmod t.
Lemma SscstatPSS : forall (s t : SFSstate) (u : SUBJECT), SecureState s -> TransFunc u s Sscstat t -> SecureState t.
Lemma SscstatPSP : forall (s t : SFSstate) (u : SUBJECT), StarProperty s -> TransFunc u s Sscstat t -> StarProperty t.
Lemma SscstatPCP : forall s t : SFSstate, PreservesControlProp s Sscstat t.
Lemma AclstatPSS : forall (s t : SFSstate) (u : SUBJECT), SecureState s -> TransFunc u s Aclstat t -> SecureState t.
Lemma AclstatPSP : forall (s t : SFSstate) (u : SUBJECT), StarProperty s -> TransFunc u s Aclstat t -> StarProperty t.
Lemma AclstatPCP : forall s t : SFSstate, PreservesControlProp s Aclstat t.
Lemma Owner_ClosePSS : forall (s t : SFSstate) (u : SUBJECT), FuncPre5 s -> SecureState s -> TransFunc u s Owner_Close t -> SecureState t.
Lemma Owner_ClosePSP : forall (s t : SFSstate) (u : SUBJECT), FuncPre5 s -> StarProperty s -> TransFunc u s Owner_Close t -> StarProperty t.
Lemma Owner_ClosePCP : forall s t : SFSstate, PreservesControlProp s Owner_Close t.
Lemma AddUsrGrpToAclPSS : forall (s t : SFSstate) (u : SUBJECT), SecureState s -> TransFunc u s AddUsrGrpToAcl t -> SecureState t.
Lemma AddUsrGrpToAclPSP : forall (s t : SFSstate) (u : SUBJECT), StarProperty s -> TransFunc u s AddUsrGrpToAcl t -> StarProperty t.
Lemma AddUsrGrpToAclPCP : forall s t : SFSstate, PreservesControlProp s AddUsrGrpToAcl t.
Lemma ClosePSS : forall (s t : SFSstate) (u : SUBJECT), FuncPre5 s -> SecureState s -> TransFunc u s Close t -> SecureState t.
Lemma ClosePSP : forall (s t : SFSstate) (u : SUBJECT), FuncPre5 s -> StarProperty s -> TransFunc u s Close t -> StarProperty t.
Lemma ClosePCP : forall s t : SFSstate, PreservesControlProp s Close t.
Lemma ReadPSS : forall (s t : SFSstate) (u : SUBJECT), SecureState s -> TransFunc u s Read t -> SecureState t.
Lemma ReadPSP : forall (s t : SFSstate) (u : SUBJECT), StarProperty s -> TransFunc u s Read t -> StarProperty t.
Lemma ReadPCP : forall s t : SFSstate, PreservesControlProp s Read t.
Lemma OpenPSS : forall (s t : SFSstate) (u : SUBJECT), FuncPre5 s -> SecureState s -> TransFunc u s Open t -> SecureState t.
Lemma OpenPSP : forall (s t : SFSstate) (u : SUBJECT), FuncPre5 s -> StarProperty s -> TransFunc u s Open t -> StarProperty t.
Lemma OpenPCP : forall s t : SFSstate, PreservesControlProp s Open t.
Lemma ChownPSS : forall (s t : SFSstate) (u : SUBJECT), SecureState s -> TransFunc u s Chown t -> SecureState t.
Lemma ChownPSP : forall (s t : SFSstate) (u : SUBJECT), StarProperty s -> TransFunc u s Chown t -> StarProperty t.
Lemma ChownPCP : forall s t : SFSstate, PreservesControlProp s Chown t.
Lemma OscstatPSS : forall (s t : SFSstate) (u : SUBJECT), SecureState s -> TransFunc u s Oscstat t -> SecureState t.
Lemma OscstatPSP : forall (s t : SFSstate) (u : SUBJECT), StarProperty s -> TransFunc u s Oscstat t -> StarProperty t.
Lemma OscstatPCP : forall s t : SFSstate, PreservesControlProp s Oscstat t.
Lemma UnlinkPSS : forall (s t : SFSstate) (u : SUBJECT), SecureState s -> TransFunc u s Unlink t -> SecureState t.
Lemma UnlinkPSP : forall (s t : SFSstate) (u : SUBJECT), StarProperty s -> TransFunc u s Unlink t -> StarProperty t.
Lemma UnlinkPCP : forall s t : SFSstate, FuncPre4 s -> FuncPre6 s -> PreservesControlProp s Unlink t.
Lemma MkdirPSS : forall (s t : SFSstate) (u : SUBJECT), FuncPre1 s -> FuncPre2 s -> FuncPre3 s -> SecureState s -> TransFunc u s Mkdir t -> SecureState t.
Lemma MkdirPSP : forall (s t : SFSstate) (u : SUBJECT), FuncPre1 s -> FuncPre2 s -> FuncPre3 s -> StarProperty s -> TransFunc u s Mkdir t -> StarProperty t.
Lemma MkdirPCP : forall s t : SFSstate, FuncPre1 s -> FuncPre2 s -> PreservesControlProp s Mkdir t.
Lemma ChobjscPSS : forall (s t : SFSstate) (u : SUBJECT), FuncPre6 s -> SecureState s -> TransFunc u s Chobjsc t -> SecureState t.
Lemma ChobjscPSP : forall (s t : SFSstate) (u : SUBJECT), FuncPre6 s -> StarProperty s -> TransFunc u s Chobjsc t -> StarProperty t.
Lemma ChobjscPCP : forall s t : SFSstate, PreservesControlProp s Chobjsc t.
Lemma ChsubscPSS : forall (s t : SFSstate) (u : SUBJECT), FuncPre7 s -> SecureState s -> TransFunc u s Chsubsc t -> SecureState t.
Lemma ChsubscPSP : forall (s t : SFSstate) (u : SUBJECT), StarProperty s -> TransFunc u s Chsubsc t -> StarProperty t.
Lemma ChsubscPCP : forall s t : SFSstate, PreservesControlProp s Chsubsc t.
Lemma ReaddirPSS : forall (s t : SFSstate) (u : SUBJECT), SecureState s -> TransFunc u s Readdir t -> SecureState t.
Lemma ReaddirPSP : forall (s t : SFSstate) (u : SUBJECT), StarProperty s -> TransFunc u s Readdir t -> StarProperty t.
Lemma ReaddirPCP : forall s t : SFSstate, PreservesControlProp s Readdir t.
Lemma WritePSS : forall (s t : SFSstate) (u : SUBJECT), SecureState s -> TransFunc u s Write t -> SecureState t.
Lemma WritePSP : forall (s t : SFSstate) (u : SUBJECT), StarProperty s -> TransFunc u s Write t -> StarProperty t.
Lemma WritePCP : forall s t : SFSstate, PreservesControlProp s Write t.
Lemma RmdirPSS : forall (s t : SFSstate) (u : SUBJECT), SecureState s -> TransFunc u s Rmdir t -> SecureState t.
Lemma RmdirPSP : forall (s t : SFSstate) (u : SUBJECT), StarProperty s -> TransFunc u s Rmdir t -> StarProperty t.
Lemma RmdirPCP : forall s t : SFSstate, FuncPre4 s -> FuncPre6 s -> PreservesControlProp s Rmdir t.