Nuprl Lemma : es-first-init
[es:EO]. [e:E]. (first(es-init(es;e)) ~ tt)
Proof not projected
Definitions occuring in Statement :
es-init: es-init(es;e),
es-first: first(e),
es-E: E,
event_ordering: EO,
btrue: tt,
uall: [x:A]. B[x],
sqequal: s ~ t
Definitions :
uall: [x:A]. B[x],
member: t 
T,
es-init: es-init(es;e),
btrue: tt,
all: x:A. B[x],
prop: 
,
implies: P 
Q,
final-iterate: final-iterate(f;x),
ifthenelse: if b then t else f fi ,
bfalse: ff,
ycomb: Y,
can-apply: can-apply(f;x),
do-apply: do-apply(f;x),
isl: isl(x),
outl: outl(x),
assert: 
b,
and: P 
Q,
iff: P 
Q,
true: True,
rev_implies: P Q,
so_lambda: 
x.t[x],
sq_type: SQType(T),
uimplies: b supposing a,
guard: {T},
wellfounded: WellFnd{i}(A;x,y.R[x; y]),
bool: 
,
unit: Unit,
uiff: uiff(P;Q),
so_apply: x[s],
it: 
Lemmas :
subtype_base_sq,
bool_wf,
bool_subtype_base,
es-E_wf,
event_ordering_wf,
es-locl-wellfnd,
equal_wf,
es-first_wf,
es-init_wf,
btrue_wf,
eqtt_to_assert,
uiff_transitivity,
assert_wf,
bnot_wf,
not_wf,
eqff_to_assert,
assert_of_bnot,
iff_imp_equal_bool,
es-pred_wf,
true_wf,
assert_elim,
all_wf,
es-locl_wf,
es-pred-locl
\mforall{}[es:EO]. \mforall{}[e:E]. (first(es-init(es;e)) \msim{} tt)
Date html generated:
2012_01_23-PM-12_11_35
Last ObjectModification:
2011_12_13-AM-10_31_05
Home
Index