Nuprl Lemma : es-dt-dom
[l:IdLnk]. [da:k:Knd fp-> Type]. [tg:Id]. uiff(
tg 
dom(dt(l;da));rcv(l,tg) dom(da))
Proof not projected
Definitions occuring in Statement :
es-dt: dt(l;da),
fpf-dom: x dom(f),
fpf: a:A fp-> B[a],
Kind-deq: KindDeq,
id-deq: IdDeq,
rcv: rcv(l,tg),
Knd: Knd,
IdLnk: IdLnk,
Id: Id,
assert: b,
uiff: uiff(P;Q),
uall: [x:A]. B[x],
universe: Type
Definitions :
so_lambda: 
x.t[x],
uimplies: b supposing a,
and: P 
Q,
member: t T,
uiff: uiff(P;Q),
uall: [x:A]. B[x],
all: x:A. B[x],
implies: P 
Q,
rev_implies: P 
Q,
iff: P Q,
es-dt: dt(l;da),
bfalse: ff,
btrue: tt,
exposed-bfalse: exposed-bfalse,
ifthenelse: if b then t else f fi ,
cand: A c B,
prop: 
,
guard: {T},
outl: outl(x),
isl: isl(x),
assert: b,
exists: 
x:A. B[x],
true: True,
so_apply: x[s],
bool: 
,
unit: Unit,
false: False,
sq_type: SQType(T),
it: 
Lemmas :
IdLnk_wf,
top_wf,
fpf_wf,
es-dt_wf,
id-deq_wf,
Id_wf,
rcv_wf,
fpf-trivial-subtype-top,
Kind-deq_wf,
Knd_wf,
fpf-dom_wf,
assert_witness,
compose-fpf-dom,
member-fpf-domain,
fpf-domain_wf,
l_member_wf,
assert_wf,
iff_functionality_wrt_iff,
outl_wf,
isl_wf,
assert_of_bnot,
eqff_to_assert,
not_wf,
bnot_wf,
equal_wf,
uiff_transitivity,
it_wf,
tagof_wf,
unit_wf2,
lnk_wf,
eq_lnk_wf,
ifthenelse_wf,
eqtt_to_assert,
bool_wf,
isrcv_wf,
and_wf,
exists_wf,
not_functionality_wrt_uiff,
assert-eq-lnk,
false_wf,
true_wf,
assert_elim,
bool_subtype_base,
subtype_base_sq
\mforall{}[l:IdLnk]. \mforall{}[da:k:Knd fp-> Type]. \mforall{}[tg:Id]. uiff(\muparrow{}tg \mmember{} dom(dt(l;da));\muparrow{}rcv(l,tg) \mmember{} dom(da))
Date html generated:
2012_01_23-AM-11_56_36
Last ObjectModification:
2011_12_14-PM-04_14_25
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