{ 
[M:Type 
Type]
r:pRunType(P.M[P]). t:
. e:runEvents(r).
((e 
prior-run-events(r;t)) 
run-event-step(e) < t) }
{ Proof }
Definitions occuring in Statement :
prior-run-events: prior-run-events(r;t),
run-event-step: run-event-step(e),
runEvents: runEvents(r),
pRunType: pRunType(T.M[T]),
nat: ,
uall: [x:A]. B[x],
so_apply: x[s],
all: x:A. B[x],
iff: P Q,
less_than: a < b,
function: x:A B[x],
universe: Type,
l_member: (x l)
Definitions :
uall: [x:A]. B[x],
all: x:A. B[x],
so_apply: x[s],
iff: P Q,
prior-run-events: prior-run-events(r;t),
run-event-step: run-event-step(e),
and: P 
Q,
implies: P Q,
rev_implies: P Q,
member: t T,
prop: 
,
so_lambda: 
x.t[x],
nat: ,
cand: A c B,
top: Top,
subtype: S 
T,
pRunType: pRunType(T.M[T]),
runEvents: runEvents(r),
pi1: fst(t),
pi2: snd(t),
outl: outl(x),
isl: isl(x),
assert: 
b,
is-run-event: is-run-event(r;t;x),
band: p 
q,
spreadn: spread3,
btrue: tt,
bfalse: ff,
ifthenelse: if b then t else f fi ,
true: True,
false: False,
squash: 
T,
exists: 
x:A. B[x],
int_seg: {i..j
},
lelt: i 
j < k,
Id: Id,
uimplies: b supposing a,
sq_type: SQType(T),
guard: {T},
sq_stable: SqStable(P)
Lemmas :
l_member_wf,
runEvents_wf,
prior-run-events_wf,
run-event-step_wf,
nat_wf,
pRunType_wf,
member-mapfilter,
int_seg_wf,
nat_properties,
upto_wf,
isl_wf,
Id_wf,
pMsg_wf,
unit_wf,
pi1_wf_top,
le_wf,
top_wf,
ldag_wf,
pInTransit_wf,
assert_wf,
pi2_wf,
outl_wf,
is-run-event_wf,
subtype_base_sq,
bool_wf,
bool_subtype_base,
true_wf,
false_wf,
eq_id_self,
btrue_wf,
member_upto2,
sq_stable__assert,
eq_id_wf,
assert_elim,
set_subtype_base,
int_subtype_base,
atom2_subtype_base,
implies_functionality_wrt_iff,
iff_weakening_uiff,
assert-eq-id
\mforall{}[M:Type {}\mrightarrow{} Type]
\mforall{}r:pRunType(P.M[P]). \mforall{}t:\mBbbN{}. \mforall{}e:runEvents(r).
((e \mmember{} prior-run-events(r;t)) \mLeftarrow{}{}\mRightarrow{} run-event-step(e) < t)
Date html generated:
2011_08_16-PM-07_02_58
Last ObjectModification:
2011_06_18-AM-11_16_40
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