{ 
[Info,A,B:Type]. [es:EO+(Info)]. [X:EClass(A)]. [Y:EClass(B)]. [R:E(X)
A
B
].
(e
X(x) 
c
Y(y) such that
R[e;x;y] ) }
{ Proof }
Definitions occuring in Statement :
es-class-causal-rel: es-class-causal-rel,
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
uall: [x:A]. B[x],
prop: ,
so_apply: x[s1;s2;s3],
member: t T,
function: x:A B[x],
universe: Type
Definitions :
uall: [x:A]. B[x],
prop: ,
member: t T,
es-class-causal-rel: es-class-causal-rel,
so_apply: x[s1;s2;s3],
and: P 
Q,
all: x:A. B[x],
exists: 
x:A. B[x],
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,
eclass-val_wf,
es-E_wf,
event-ordering+_wf,
subtype_base_sq,
bool_wf,
bool_subtype_base,
eclass_wf,
assert_elim,
in-eclass_wf
\mforall{}[Info,A,B:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(A)]. \mforall{}[Y:EClass(B)]. \mforall{}[R:E(X) {}\mrightarrow{} A {}\mrightarrow{} B {}\mrightarrow{} \mBbbP{}].
(e\mmember{}X(x) \mLeftarrow{}c\mRightarrow{} Y(y) such that
R[e;x;y] \mmember{} \mBbbP{})
Date html generated:
2011_08_16-PM-06_11_17
Last ObjectModification:
2011_06_20-AM-01_49_02
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