Nuprl Lemma : fpf-single-dom
[A:Type]. [eq:EqDecider(A)]. [x,y:A]. [v:Top]. uiff(
x 
dom(y : v);x = y)
Proof not projected
Definitions occuring in Statement :
fpf-single: x : v,
fpf-dom: x dom(f),
assert: b,
uiff: uiff(P;Q),
uall: [x:A]. B[x],
top: Top,
universe: Type,
equal: s = t,
deq: EqDecider(T)
Definitions :
member: t T,
so_lambda: 
x.t[x],
and: P 
Q,
ifthenelse: if b then t else f fi ,
guard: {T},
implies: P 
Q,
iff: P 
Q,
rev_implies: P Q,
bfalse: ff,
eqof: eqof(d),
reduce: reduce(f;k;as),
pi1: fst(t),
deq-member: deq-member(eq;x;L),
fpf-single: x : v,
fpf-dom: x dom(f),
assert: b,
uimplies: b supposing a,
or: P 
Q,
uiff: uiff(P;Q),
uall: [x:A]. B[x],
so_apply: x[s],
all: x:A. B[x],
deq: EqDecider(T),
false: False,
prop: 
Lemmas :
assert_wf,
fpf-dom_wf,
fpf-single_wf,
top_wf,
equal_wf,
deq_wf,
assert-deq,
or_functionality_wrt_uiff2,
assert_of_bor,
iff_weakening_uiff,
iff_transitivity,
uiff_functionality_wrt_uiff2,
false_wf,
or_wf,
bfalse_wf,
bor_wf
\mforall{}[A:Type]. \mforall{}[eq:EqDecider(A)]. \mforall{}[x,y:A]. \mforall{}[v:Top]. uiff(\muparrow{}x \mmember{} dom(y : v);x = y)
Date html generated:
2012_01_23-AM-11_55_31
Last ObjectModification:
2011_12_10-PM-12_09_29
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