Nuprl Lemma : run-eo_wf
∀[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),
less_than: a < b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
so_apply: x[s],
pi1: fst(t),
all: ∀x:A. B[x],
member: t ∈ T,
function: x:A ─→ B[x],
universe: Type
Lemmas :
mk-extended-eo_wf,
pMsg_wf,
btrue_wf,
run-event-loc_wf,
run-lt_wf,
lt_int_wf,
run-event-step_wf,
run_local_pred_wf,
run-event-msg_wf,
squash_wf,
infix_ap_wf,
runEvents_wf,
equal_wf,
Id_wf,
assert_of_lt_int,
assert_wf,
not_wf,
assert_witness,
all_wf,
less_than_wf,
run-info_wf,
nat_wf,
pRunType_wf,
run-lt-step-less,
run_local_pred_loc,
run_local_pred_time,
rel-rel-plus,
run-pred_wf,
iff_weakening_equal,
subtype_rel_set,
is-run-event_wf,
subtype_rel_product,
subtype_rel_self,
run_local_pred_time_less,
run_local_pred_maximal,
run-lt-transitive,
total-run-lt
Latex:
\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:
2015_07_23-AM-11_15_47
Last ObjectModification:
2015_02_04-PM-04_47_25
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