{ [s:SES]
    [pa:ProtocolAction]. [es:EO+(Info)]. [e:E].
      ({((fst(pa)) = "sign")  ((snd(pa)) = Sign(e))}) supposing 
         ((e  Sign) and 
         pa(e)) 
    supposing ActionsDisjoint }

{ Proof }



Definitions occuring in Statement :  ses-is-protocol-action: pa(e) protocol-action: ProtocolAction ses-disjoint: ActionsDisjoint ses-sign: Sign ses-info: Info security-event-structure: SES sdata: SecurityData eclass-val: X(e) in-eclass: e  X event-ordering+: EO+(Info) es-E: E Id: Id assert: b uimplies: b supposing a uall: [x:A]. B[x] guard: {T} pi1: fst(t) pi2: snd(t) and: P  Q product: x:A  B[x] token: "$token" atom: Atom equal: s = t atom: Atom$n
Definitions :  uall: [x:A]. B[x] uimplies: b supposing a ses-is-protocol-action: pa(e) guard: {T} and: P  Q pi1: fst(t) pi2: snd(t) member: t  T implies: P  Q ifthenelse: if b then t else f fi  top: Top all: x:A. B[x] cand: A c B btrue: tt prop: so_lambda: x y.t[x; y] bfalse: ff ses-disjoint: ActionsDisjoint protocol-action: ProtocolAction false: False exists: x:A. B[x] bool: unit: Unit iff: P  Q so_apply: x[s1;s2] not: A it: subtype: S  T
Lemmas :  eq_atom_wf bool_wf iff_weakening_uiff uiff_transitivity assert_wf eqtt_to_assert assert_of_eq_atom in-eclass_wf ses-info_wf ses-new_wf es-interface-subtype_rel2 es-E_wf event-ordering+_wf top_wf eclass-val_wf event-ordering+_inc not_wf bnot_wf eqff_to_assert assert_of_bnot not_functionality_wrt_uiff ses-send_wf sdata_wf ses-rcv_wf ses-encrypt_wf encryption-key_wf ses-decrypt_wf ses-sign_wf Id_wf ses-verify_wf false_wf ses-is-protocol-action_wf protocol-action_wf ses-disjoint_wf security-event-structure_wf

\mforall{}[s:SES]
    \mforall{}[pa:ProtocolAction].  \mforall{}[es:EO+(Info)].  \mforall{}[e:E].
        (\{((fst(pa))  =  "sign")  \mwedge{}  ((snd(pa))  =  Sign(e))\})  supposing  ((\muparrow{}e  \mmember{}\msubb{}  Sign)  and  pa(e)) 
    supposing  ActionsDisjoint


Date html generated: 2011_08_17-PM-07_40_30
Last ObjectModification: 2011_06_18-PM-01_33_47

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