{ 
[es:EO]. [R:{R:E 
E 
| e,e':E. (R[e;e'] 
(e' < e))} ].
[d:e,e':E. Dec(R e e')].
(es-r-pred{i:l}(es;d) 
E (E + Top)) }
{ Proof }
Definitions occuring in Statement :
es-r-pred: es-r-pred{i:l}(es;d),
es-causl: (e < e'),
es-E: E,
event_ordering: EO,
decidable: Dec(P),
uall: [x:A]. B[x],
top: Top,
prop: ,
so_apply: x[s1;s2],
all: x:A. B[x],
implies: P Q,
member: t T,
set: {x:A| B[x]} ,
apply: f a,
function: x:A B[x],
union: left + right
Definitions :
fpf: a:A fp-> B[a],
strong-subtype: strong-subtype(A;B),
list: type List,
le: A 
B,
ge: i 
j ,
not: 
A,
less_than: a < b,
uimplies: b supposing a,
product: x:A 
B[x],
and: P 
Q,
uiff: uiff(P;Q),
or: P 
Q,
eq_atom: x =a y,
eq_atom: eq_atom$n(x;y),
record-select: r.x,
infix_ap: x f y,
dep-isect: Error :dep-isect,
record+: record+,
subtype_rel: A 
r B,
axiom: Ax,
es-r-pred: es-r-pred{i:l}(es;d),
top: Top,
union: left + right,
event_ordering: EO,
equal: s = t,
implies: P Q,
es-causl: (e < e'),
so_apply: x[s1;s2],
universe: Type,
set: {x:A| B[x]} ,
uall: [x:A]. B[x],
function: x:A B[x],
decidable: Dec(P),
apply: f a,
es-E: E,
prop: ,
all: x:A. B[x],
member: t T,
isect: 
x:A. B[x],
pi1: fst(t),
void: Void,
subtype: S T,
suptype: suptype(S; T),
lambda: 
x.A[x],
so_lambda: 
x.t[x],
causal-pred-from-relation,
rev_implies: P 
Q,
limited-type: LimitedType,
do-apply: do-apply(f;x),
can-apply: can-apply(f;x),
assert: 
b,
exists: 
x:A. B[x],
iff: P Q,
causal-predecessor: causal-predecessor(es;p),
Auto: Error :Auto,
Unfold: Error :Unfold,
CollapseTHEN: Error :CollapseTHEN,
tactic: Error :tactic
Lemmas :
causal-predecessor_wf,
iff_wf,
assert_wf,
uall_wf,
causal-pred-from-relation,
can-apply_wf,
do-apply_wf,
subtype_rel_wf,
pi1_wf_top,
member_wf,
top_wf,
decidable_wf,
es-E_wf,
es-causl_wf,
event_ordering_wf
\mforall{}[es:EO]. \mforall{}[R:\{R:E {}\mrightarrow{} E {}\mrightarrow{} \mBbbP{}| \mforall{}e,e':E. (R[e;e'] {}\mRightarrow{} (e' < e))\} ]. \mforall{}[d:\mforall{}e,e':E. Dec(R e e')].
(es-r-pred\{i:l\}(es;d) \mmember{} E {}\mrightarrow{} (E + Top))
Date html generated:
2011_08_16-AM-11_13_13
Last ObjectModification:
2011_06_20-AM-00_20_42
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