{ s:SES
    (ActionsDisjoint
     (es:EO+(Info). x,y:E.
          (same-action(x;y)  (a:Atom1. ((x has a)  (y has a)))))) }

{ Proof }



Definitions occuring in Statement :  ses-disjoint: ActionsDisjoint same-action: same-action(x;y) event-has: (e has a) ses-info: Info security-event-structure: SES event-ordering+: EO+(Info) es-E: E all: x:A. B[x] implies: P  Q atom: Atom$n
Definitions :  list: type List squash: T intensional-universe: IType true: True fpf: a:A fp-B[a] lambda: x.A[x] es-E-interface: E(X) rec: rec(x.A[x]) tree: Tree(E) so_lambda: x y.t[x; y] eclass: EClass(A[eo; e]) cand: A c B pair: <a, b> void: Void bool: false: False free-from-atom: x:T||a eclass-val: X(e) natural_number: $n sq_type: SQType(T) int: in-eclass: e  X universe: Type atom: Atom top: Top es-base-E: es-base-E(es) token: "$token" so_apply: x[s] guard: {T} l_member: (x  l) subtype: S  T equal: s = t member: t  T strong-subtype: strong-subtype(A;B) record-select: r.x eq_atom: x =a y eq_atom: eq_atom$n(x;y) exists: x:A. B[x] set: {x:A| B[x]}  decide: case b of inl(x) =s[x] | inr(y) =t[y] ifthenelse: if b then t else f fi  assert: b dep-isect: Error :dep-isect,  record+: record+ le: A  B ge: i  j  not: A less_than: a < b uimplies: b supposing a and: P  Q uiff: uiff(P;Q) subtype_rel: A r B isect: x:A. B[x] uall: [x:A]. B[x] ses-new: New ses-verify: Verify Id: Id ses-sign: Sign ses-decrypt: Decrypt encryption-key: Key product: x:A  B[x] ses-encrypt: Encrypt ses-rcv: Rcv sdata: SecurityData ses-send: Send class-value-has: X(e) has a union: left + right or: P  Q ses-info: Info event_ordering: EO all: x:A. B[x] implies: P  Q function: x:A  B[x] prop: atom: Atom$n same-action: same-action(x;y) es-E: E event-ordering+: EO+(Info) ses-disjoint: ActionsDisjoint event-has: (e has a) security-event-structure: SES record: record(x.T[x]) so_lambda: x.t[x] sqequal: s ~ t Auto: Error :Auto,  Complete: Error :Complete,  CollapseTHEN: Error :CollapseTHEN,  Try: Error :Try,  D: Error :D,  MaAuto: Error :MaAuto,  CollapseTHENA: Error :CollapseTHENA,  ExRepD: Error :ExRepD,  RepUR: Error :RepUR,  apply: f a THENM: Error :THENM,  Unfold: Error :Unfold
Lemmas :  set_subtype_base class-value-has_wf ses-info_wf ses-new_wf event-has_wf sdata_wf Id_wf ses-verify_wf ses-sign_wf encryption-key_wf ses-decrypt_wf ses-encrypt_wf ses-rcv_wf ses-send_wf same-action_wf es-E_wf event-ordering+_wf ses-disjoint_wf security-event-structure_wf event-ordering+_inc es-base-E_wf subtype_rel_self subtype_base_sq int_subtype_base not_wf assert_wf in-eclass_wf eclass_wf member_wf es-interface-top es-interface-subtype_rel2 top_wf subtype_rel_wf free-from-atom_wf1 eclass-val_wf false_wf ifthenelse_wf true_wf intensional-universe_wf squash_wf

\mforall{}s:SES
    (ActionsDisjoint
    {}\mRightarrow{}  (\mforall{}es:EO+(Info).  \mforall{}x,y:E.    (same-action(x;y)  {}\mRightarrow{}  (\mforall{}a:Atom1.  ((x  has  a)  {}\mRightarrow{}  (y  has  a))))))


Date html generated: 2011_08_17-PM-07_28_56
Last ObjectModification: 2011_06_18-PM-01_23_13

Home Index