{ 
[Info,A,B:Type]. [loc1:A 
Id]. [loc2:B Id]. [es:EO+(Info)].
[f:Id List]. [X:EClass(A)]. [Y:EClass(B)]. [R:E(X) A B 
].
(e,x,y. e
X(x) 
c
reply Y(y)@loc1[x] such that
R[e;x;y]
loc2[y]=loc(e)
unless loc(e) f ) }
{ Proof }
Definitions occuring in Statement :
es-class-reply-or-fail: es-class-reply-or-fail,
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
Id: Id,
uall: [x:A]. B[x],
prop: ,
so_apply: x[s1;s2;s3],
so_apply: x[s],
member: t T,
function: x:A B[x],
list: type List,
universe: Type
Definitions :
uall: [x:A]. B[x],
prop: ,
member: t T,
es-class-reply-or-fail: es-class-reply-or-fail,
so_apply: x[s1;s2;s3],
so_apply: x[s],
and: P Q,
all: x:A. B[x],
exists: x:A. B[x],
or: P 
Q,
cand: A c B,
assert: 
b,
so_lambda: 
x y.t[x; y],
btrue: tt,
ifthenelse: if b then t else f fi ,
true: True,
es-E-interface: E(X),
so_apply: x[s1;s2],
uimplies: b supposing a,
sq_type: SQType(T),
implies: P 
Q,
guard: {T},
subtype: S 
T
Lemmas :
es-E-interface_wf,
es-interface-top,
es-causle_wf,
event-ordering+_inc,
Id_wf,
es-loc_wf,
eclass-val_wf,
es-E_wf,
event-ordering+_wf,
subtype_base_sq,
bool_subtype_base,
l_member_wf,
eclass_wf,
assert_elim,
in-eclass_wf
\mforall{}[Info,A,B:Type]. \mforall{}[loc1:A {}\mrightarrow{} Id]. \mforall{}[loc2:B {}\mrightarrow{} Id]. \mforall{}[es:EO+(Info)]. \mforall{}[f:Id List]. \mforall{}[X:EClass(A)].
\mforall{}[Y:EClass(B)]. \mforall{}[R:E(X) {}\mrightarrow{} A {}\mrightarrow{} B {}\mrightarrow{} \mBbbP{}].
(\mforall{}e,x,y. e\mmember{}X(x) \mLeftarrow{}c\mRightarrow{} \mexists{} reply Y(y)@loc1[x] such that
R[e;x;y]\mwedge{}loc2[y]=loc(e)
unless loc(e) \mmember{} f \mmember{} \mBbbP{})
Date html generated:
2011_08_16-PM-06_12_07
Last ObjectModification:
2011_06_20-AM-01_49_52
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