{ 
[A:Type]. [B:A 
Type]. [f:a:A fp-> B[a]].
(f 
a:{a:A| (a fpf-domain(f))} fp-> B[a]) }
{ Proof }
Definitions occuring in Statement :
fpf-domain: fpf-domain(f),
fpf: a:A fp-> B[a],
uall: [x:A]. B[x],
so_apply: x[s],
member: t T,
set: {x:A| B[x]} ,
function: x:A B[x],
universe: Type,
l_member: (x l)
Definitions :
uall: [x:A]. B[x],
fpf: a:A fp-> B[a],
so_apply: x[s],
member: t T,
so_lambda: 
x.t[x],
fpf-domain: fpf-domain(f),
pi1: fst(t),
all: x:A. B[x],
subtype: S 
T,
suptype: suptype(S; T),
prop: 
Lemmas :
fpf_wf,
list-subtype,
l_member_wf
\mforall{}[A:Type]. \mforall{}[B:A {}\mrightarrow{} Type]. \mforall{}[f:a:A fp-> B[a]]. (f \mmember{} a:\{a:A| (a \mmember{} fpf-domain(f))\} fp-> B[a])
Date html generated:
2011_08_10-AM-07_55_03
Last ObjectModification:
2011_06_18-AM-08_16_24
Home
Index