Nuprl Lemma : select_upto
11,40
postcript
pdf
m
:
,
n
:{0..
m
}. upto(
m
)[
n
] =
n
latex
Definitions
x
:
A
.
B
(
x
)
,
,
upto(
n
)
,
t
T
,
A
B
,
A
,
P
Q
,
False
,
,
S
T
,
Y
,
if
b
then
t
else
f
fi
,
tt
,
ff
,
i
j
,
{
i
..
j
}
,
P
Q
,
P
Q
,
i
j
<
k
,
P
&
Q
,
||
as
||
,
t
...$L
,
l
[
i
]
,
SQType(
T
)
,
{
T
}
,
hd(
l
)
,
nth_tl(
n
;
as
)
,
i
z
j
,
b
,
i
<z
j
,
,
Unit
,
Dec(
P
)
,
P
Q
,
Lemmas
nat
wf
,
select
wf
,
upto
wf
,
le
wf
,
int
seg
wf
,
length
wf1
,
eq
int
wf
,
bool
wf
,
iff
transitivity
,
assert
wf
,
eqtt
to
assert
,
assert
of
eq
int
,
length
wf2
,
bnot
wf
,
not
wf
,
eqff
to
assert
,
assert
of
bnot
,
not
functionality
wrt
iff
,
decidable
lt
,
nat
properties
,
ge
wf
,
select
append
front
,
length
upto
,
select
append
back
,
length
nil
,
length
cons
,
non
neg
length
origin