Nuprl Lemma : fpf-cap-single1
[A:Type]. [eq:EqDecider(A)]. [x:A]. [v,z:Top]. (x : v(x)?z ~ v)
Proof not projected
Definitions occuring in Statement :
fpf-single: x : v,
fpf-cap: f(x)?z,
uall: [x:A]. B[x],
top: Top,
universe: Type,
sqequal: s ~ t,
deq: EqDecider(T)
Definitions :
member: t 
T,
reduce: reduce(f;k;as),
pi1: fst(t),
deq-member: deq-member(eq;x;L),
fpf-dom: x dom(f),
fpf-single: x : v,
fpf-cap: f(x)?z,
guard: {T},
implies: P 
Q,
all: x:A. B[x],
eqof: eqof(d),
btrue: tt,
bor: p 
q,
ifthenelse: if b then t else f fi ,
uimplies: b supposing a,
uall: [x:A]. B[x],
sq_type: SQType(T),
false: False,
not: 
A,
and: P 
Q,
uiff: uiff(P;Q),
unit: Unit,
bool: 
,
deq: EqDecider(T),
bfalse: ff,
it: 
Lemmas :
deq_wf,
top_wf,
bool_subtype_base,
bool_wf,
subtype_base_sq,
not_functionality_wrt_uiff,
assert_of_bnot,
eqff_to_assert,
not_wf,
bnot_wf,
btrue_wf,
assert-deq,
eqtt_to_assert,
assert_wf,
equal_wf,
uiff_transitivity
\mforall{}[A:Type]. \mforall{}[eq:EqDecider(A)]. \mforall{}[x:A]. \mforall{}[v,z:Top]. (x : v(x)?z \msim{} v)
Date html generated:
2012_01_23-AM-11_54_41
Last ObjectModification:
2011_12_10-AM-11_53_54
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