{ 
[s:SES]
[pa:ProtocolAction]. [es:EO+(Info)]. [e:E].
UseableAtoms(e) = pa-useable(pa) supposing pa(e)
supposing ActionsDisjoint }
{ Proof }
Definitions occuring in Statement :
ses-is-protocol-action: pa(e),
pa-useable: pa-useable(pa),
protocol-action: ProtocolAction,
ses-useable-atoms: UseableAtoms(e),
ses-disjoint: ActionsDisjoint,
ses-info: Info,
security-event-structure: SES,
event-ordering+: EO+(Info),
es-E: E,
uimplies: b supposing a,
uall: [x:A]. B[x],
list: type List,
equal: s = t,
atom: Atom$n
Definitions :
uall: [x:A]. B[x],
uimplies: b supposing a,
ses-is-protocol-action: pa(e),
ses-useable-atoms: UseableAtoms(e),
pa-useable: pa-useable(pa),
member: t 
T,
ifthenelse: if b then t else f fi ,
eq_atom: x =a y,
and: P 
Q,
top: Top,
ses-sig: signature(e),
ses-crypt: cipherText(e),
ses-decrypted: plainText(e),
all: x:A. B[x],
implies: P 
Q,
cand: A c B,
btrue: tt,
bfalse: ff,
so_lambda: 
x y.t[x; y],
prop: 
,
so_lambda: x.t[x],
subtype: S 
T,
false: False,
ses-disjoint: ActionsDisjoint,
protocol-action: ProtocolAction,
exists: 
x:A. B[x],
decidable: Dec(P),
or: P 
Q,
not: 
A,
sq_type: SQType(T),
guard: {T},
bool: 
,
so_apply: x[s1;s2],
unit: Unit,
iff: P 
Q,
so_apply: x[s],
it: 
Lemmas :
decidable__atom_equal,
subtype_base_sq,
atom_subtype_base,
in-eclass_wf,
ses-info_wf,
ses-rcv_wf,
es-interface-subtype_rel2,
sdata_wf,
es-E_wf,
event-ordering+_inc,
event-ordering+_wf,
top_wf,
bool_wf,
iff_weakening_uiff,
assert_wf,
eqtt_to_assert,
not_wf,
uiff_transitivity,
bnot_wf,
eqff_to_assert,
assert_of_bnot,
ses-sign_wf,
Id_wf,
ses-encrypt_wf,
encryption-key_wf,
ses-decrypt_wf,
ses-new_wf,
eclass-val_wf,
ses-send_wf,
ses-verify_wf,
protocol-action_wf,
ses-disjoint_wf,
ses-is-protocol-action_wf,
security-event-structure_wf,
assert_elim,
ifthenelse_wf,
sdata-atoms_wf,
pi2_wf,
pi1_wf_top,
eq_atom_wf,
assert_of_eq_atom,
not_functionality_wrt_uiff,
false_wf
\mforall{}[s:SES]
\mforall{}[pa:ProtocolAction]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E]. UseableAtoms(e) = pa-useable(pa) supposing pa(e)
supposing ActionsDisjoint
Date html generated:
2011_08_17-PM-07_40_58
Last ObjectModification:
2011_06_18-PM-01_34_24
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