{ 
[k:Key]. 
[a:Atom1].  uiff(
(a 
 encryption-key-atoms(k));k:Key||a) }
{ Proof }
Definitions occuring in Statement : 
encryption-key-atoms: encryption-key-atoms(k), 
encryption-key: Key, 
uiff: uiff(P;Q), 
uall:
[x:A]. B[x], 
not:
A, 
l_member: (x 
 l), 
free-from-atom: x:T||a, 
atom: Atom$n
Definitions : 
uall:
[x:A]. B[x], 
encryption-key: Key, 
uiff: uiff(P;Q), 
not:
A, 
encryption-key-atoms: encryption-key-atoms(k), 
member: t 
 T, 
and: P 
 Q, 
uimplies: b supposing a, 
implies: P 
 Q, 
false: False, 
prop:
, 
assert:
b, 
isl: isl(x), 
btrue: tt, 
bfalse: ff, 
ifthenelse: if b then t else f fi , 
true: True, 
iff: P 

 Q, 
all:
x:A. B[x], 
rev_implies: P 
 Q, 
sq_type: SQType(T), 
guard: {T}, 
outr: outr(x), 
outl: outl(x)
Lemmas : 
not_functionality_wrt_iff, 
l_member_wf, 
false_wf, 
nil_member, 
Id_wf, 
free-from-atom-Id, 
not_wf, 
free-from-atom_wf1, 
member_singleton, 
subtype_base_sq, 
atom1_subtype_base, 
free-from-atom-outr2, 
encryption-key-atoms_wf, 
encryption-key_wf, 
free-from-atom-outl2
\mforall{}[k:Key].  \mforall{}[a:Atom1].    uiff(\mneg{}(a  \mmember{}  encryption-key-atoms(k));k:Key||a)
Date html generated:
2011_08_17-PM-07_11_31
Last ObjectModification:
2011_06_18-PM-12_56_01
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