{ 
[M:Type 
Type]. [r:pRunType(P.M[P])].
EO(r) 
EO+(pMsg(P.M[P]))
supposing e:runEvents(r). ((fst(fst(run-info(r;e)))) < run-event-step(e)) }
{ Proof }
Definitions occuring in Statement :
run-eo: EO(r),
run-event-step: run-event-step(e),
runEvents: runEvents(r),
run-info: run-info(r;e),
pRunType: pRunType(T.M[T]),
pMsg: pMsg(P.M[P]),
event-ordering+: EO+(Info),
uimplies: b supposing a,
uall: [x:A]. B[x],
so_apply: x[s],
pi1: fst(t),
all: x:A. B[x],
member: t T,
less_than: a < b,
function: x:A B[x],
universe: Type
Definitions :
eq_atom: x =a y,
eq_atom: eq_atom$n(x;y),
record-select: r.x,
dep-isect: Error :dep-isect,
record: record(x.T[x]),
run-event-msg: run-event-msg(r;e),
record-update: r[x := v],
es-base-E: es-base-E(es),
token: "$token",
record+: record+,
guard: {T},
limited-type: LimitedType,
so_lambda: 
x y.t[x; y],
prop: 
,
l_member: (x l),
list: type List,
rel_finite: rel_finite(T;R),
exists: 
x:A. B[x],
finite-run-lt-witness: finite-run-lt-witness(r),
decd-run-lt: decd-run-lt(r),
btrue: tt,
mk-eo: mk-eo(E;dom;l;R;a;b;c;d;e;f),
implies: P 
Q,
deq-runEvents-witness: deq-runEvents-witness(),
decidable: Dec(P),
run-lt-transitive-witness: run-lt-transitive-witness(),
trans: Trans(T;x,y.E[x; y]),
total-run-lt-witness: total-run-lt-witness(),
union: left + right,
or: P 
Q,
run-event-loc: run-event-loc(e),
well-founded-run-lt-witness: well-founded-run-lt-witness(),
run-lt: run-lt(r),
infix_ap: x f y,
strongwellfounded: SWellFounded(R[x; y]),
void: Void,
set: {x:A| B[x]} ,
real: 
,
grp_car: |g|,
nat: 
,
run-event-step: run-event-step(e),
subtype: S 
T,
Id: Id,
run-info: run-info(r;e),
top: Top,
int: 
,
pi1: fst(t),
lambda: x.A[x],
eclass: EClass(A[eo; e]),
fpf: a:A fp-> B[a],
strong-subtype: strong-subtype(A;B),
le: A 
B,
ge: i 
j ,
not: 
A,
product: x:A 
B[x],
and: P 
Q,
uiff: uiff(P;Q),
subtype_rel: A r B,
universe: Type,
uall: [x:A]. B[x],
uimplies: b supposing a,
less_than: a < b,
runEvents: runEvents(r),
so_lambda: x.t[x],
isect: 
x:A. B[x],
axiom: Ax,
event-ordering+: EO+(Info),
pMsg: pMsg(P.M[P]),
so_apply: x[s],
apply: f a,
run-eo: EO(r),
pRunType: pRunType(T.M[T]),
member: t T,
function: x:A B[x],
equal: s = t,
all: x:A. B[x],
event_ordering: EO,
rec_select_update: rec_select_update{rec_select_update_compseq_tag_def:o}(y; v; x; r),
sq_type: SQType(T),
lt_int: i <z j,
le_int: i z j,
bfalse: ff,
iff: P 
Q,
null: null(as),
set_blt: a <
b,
grp_blt: a < b,
dcdr-to-bool: [d],
bl-all: (xL.P[x])_b,
bl-exists: (xL.P[x])_b,
b-exists: (i<n.P[i])_b,
eq_type: eq_type(T;T'),
qeq: qeq(r;s),
q_less: q_less(r;s),
q_le: q_le(r;s),
deq-member: deq-member(eq;x;L),
deq-disjoint: deq-disjoint(eq;as;bs),
deq-all-disjoint: deq-all-disjoint(eq;ass;bs),
eq_str: Error :eq_str,
eq_id: a = b,
eq_lnk: a = b,
es-eq-E: e = e',
es-bless: e <loc e',
es-ble: e loc e',
bimplies: p q,
band: p q,
bor: p q,
assert: 
b,
bnot: b,
unit: Unit,
false: False,
intensional-universe: IType,
es-E-interface: E(X),
ldag: LabeledDAG(T),
bool: 
,
ifthenelse: if b then t else f fi ,
Auto: Error :Auto,
Try: Error :Try,
CollapseTHEN: Error :CollapseTHEN,
RepeatFor: Error :RepeatFor,
Complete: Error :Complete,
Unfold: Error :Unfold,
atom: Atom,
AssertBY: Error :AssertBY,
MaAuto: Error :MaAuto,
fpf-cap: f(x)?z,
tactic: Error :tactic
Lemmas :
run-event-msg_wf,
bool_wf,
record_wf,
record-update_wf,
not_wf,
subtype_rel_wf,
intensional-universe_wf,
subtype_rel_self,
ifthenelse_wf,
Error :dep-isect_wf,
eq_atom_wf,
iff_weakening_uiff,
uiff_transitivity,
eqtt_to_assert,
assert_of_eq_atom,
eqff_to_assert,
assert_wf,
assert_of_bnot,
not_functionality_wrt_uiff,
bnot_wf,
subtype_base_sq,
atom_subtype_base,
pMsg_wf,
event-ordering+_wf,
member_wf,
well-founded-run-lt-witness_wf,
pRunType_wf,
top_wf,
Id_wf,
nat_wf,
run-event-step_wf,
run-info_wf,
pi1_wf_top,
runEvents_wf,
total-run-lt-witness_wf,
run-lt-transitive-witness_wf,
deq-runEvents-witness_wf,
decd-run-lt_wf,
event_ordering_wf,
run-lt_wf,
mk-eo_wf,
btrue_wf,
run-event-loc_wf,
finite-run-lt-witness_wf,
rel_finite_wf,
strongwellfounded_wf,
trans_wf,
l_member_wf,
es-base-E_wf,
record+_wf
\mforall{}[M:Type {}\mrightarrow{} Type]. \mforall{}[r:pRunType(P.M[P])].
EO(r) \mmember{} EO+(pMsg(P.M[P]))
supposing \mforall{}e:runEvents(r). ((fst(fst(run-info(r;e)))) < run-event-step(e))
Date html generated:
2011_08_17-PM-03_39_40
Last ObjectModification:
2011_06_18-AM-11_20_18
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