{ 
[A:Type]. [eq:EqDecider(A)]. [ds:x:A fp-> Type]. [x:A].
(ds(x)?Void 
r ds(x)?Top) }
{ Proof }
Definitions occuring in Statement :
fpf-cap: f(x)?z,
fpf: a:A fp-> B[a],
subtype_rel: A r B,
uall: [x:A]. B[x],
top: Top,
void: Void,
universe: Type,
deq: EqDecider(T)
Definitions :
uall: [x:A]. B[x],
fpf-cap: f(x)?z,
top: Top,
member: t 
T,
so_lambda: 
x.t[x],
prop: 
,
ifthenelse: if b then t else f fi ,
all: x:A. B[x],
implies: P 
Q,
btrue: tt,
bfalse: ff,
so_apply: x[s],
uimplies: b supposing a,
bool: 
,
unit: Unit,
iff: P 
Q,
and: P 
Q,
it: 
Lemmas :
fpf_wf,
deq_wf,
fpf-dom_wf,
fpf-trivial-subtype-top,
bool_wf,
assert_wf,
subtype_rel_self,
fpf-ap_wf,
not_wf,
bnot_wf,
top_wf,
iff_weakening_uiff,
eqtt_to_assert,
uiff_transitivity,
eqff_to_assert,
assert_of_bnot
\mforall{}[A:Type]. \mforall{}[eq:EqDecider(A)]. \mforall{}[ds:x:A fp-> Type]. \mforall{}[x:A]. (ds(x)?Void \msubseteq{}r ds(x)?Top)
Date html generated:
2011_08_10-AM-07_57_45
Last ObjectModification:
2011_06_18-AM-08_17_54
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