{ 
[A,V:Type]. [B:A 
Type].
[eq:EqDecider(A)]. [g:x:A fp-> B[x] List].
(fpf-single-valued(A;eq;x.B[x];V;g) 
)
supposing a:A. (B[a] 
r V) }
{ Proof }
Definitions occuring in Statement :
fpf-single-valued: fpf-single-valued(A;eq;x.B[x];V;g),
fpf: a:A fp-> B[a],
subtype_rel: A r B,
uimplies: b supposing a,
uall: [x:A]. B[x],
prop: ,
so_apply: x[s],
all: x:A. B[x],
member: t T,
function: x:A B[x],
list: type List,
universe: Type,
deq: EqDecider(T)
Definitions :
uall: [x:A]. B[x],
uimplies: b supposing a,
all: x:A. B[x],
so_apply: x[s],
member: t T,
prop: ,
fpf-single-valued: fpf-single-valued(A;eq;x.B[x];V;g),
implies: P 
Q,
so_lambda: 
x.t[x],
guard: {T}
Lemmas :
assert_wf,
fpf-dom_wf,
l_member_wf,
fpf-ap_wf,
fpf_wf,
deq_wf
\mforall{}[A,V:Type]. \mforall{}[B:A {}\mrightarrow{} Type].
\mforall{}[eq:EqDecider(A)]. \mforall{}[g:x:A fp-> B[x] List]. (fpf-single-valued(A;eq;x.B[x];V;g) \mmember{} \mBbbP{})
supposing \mforall{}a:A. (B[a] \msubseteq{}r V)
Date html generated:
2011_08_10-AM-07_56_27
Last ObjectModification:
2011_06_18-AM-08_17_14
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