{ 
[Info,T:Type].
es:EO+(Info). X:EClass(T).
[P:E(X) 
]
((e:E(X)
(P[e] supposing 
e 
prior(X)
P[prior(X)(e)] 
P[e] supposing e prior(X)))
(e:E(X). P[e])) }
{ Proof }
Definitions occuring in Statement :
es-prior-interface: prior(X),
es-E-interface: E(X),
eclass-val: X(e),
in-eclass: e X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
assert: b,
uimplies: b supposing a,
uall: [x:A]. B[x],
prop: ,
so_apply: x[s],
all: x:A. B[x],
not: A,
implies: P Q,
and: P Q,
function: x:A B[x],
universe: Type
Definitions :
uall: [x:A]. B[x],
all: x:A. B[x],
prop: ,
implies: P Q,
and: P Q,
uimplies: b supposing a,
assert: b,
so_apply: x[s],
btrue: tt,
member: t T,
ifthenelse: if b then t else f fi ,
true: True,
top: Top,
cand: A c B,
so_lambda: 
x y.t[x; y],
not: A,
nat: 
,
ge: i 
j ,
le: A 
B,
false: False,
squash: 
T,
es-E-interface: E(X),
sq_type: SQType(T),
guard: {T},
so_apply: x[s1;s2],
strongwellfounded: SWellFounded(R[x; y]),
exists: 
x:A. B[x],
decidable: Dec(P),
or: P 
Q,
subtype: S 
T
Lemmas :
subtype_base_sq,
bool_wf,
bool_subtype_base,
es-E-interface_wf,
not_wf,
assert_wf,
in-eclass_wf,
es-prior-interface_wf,
eclass_wf,
es-E_wf,
event-ordering+_inc,
event-ordering+_wf,
es-interface-subtype_rel2,
top_wf,
eclass-val_wf2,
assert_elim,
es-causl-swellfnd,
nat_properties,
ge_wf,
nat_wf,
le_wf,
es-causl_wf,
assert_witness,
es-interface-top,
decidable__assert,
es-prior-interface-causl
\mforall{}[Info,T:Type].
\mforall{}es:EO+(Info). \mforall{}X:EClass(T).
\mforall{}[P:E(X) {}\mrightarrow{} \mBbbP{}]
((\mforall{}e:E(X). (P[e] supposing \mneg{}\muparrow{}e \mmember{}\msubb{} prior(X) \mwedge{} P[prior(X)(e)] {}\mRightarrow{} P[e] supposing \muparrow{}e \mmember{}\msubb{} prior(X)))
{}\mRightarrow{} (\mforall{}e:E(X). P[e]))
Date html generated:
2011_08_16-PM-04_50_01
Last ObjectModification:
2011_06_20-AM-01_08_27
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