Nuprl Lemma : before-upto
0,22
postcript
pdf
n
:
,
x
,
y
:
n
.
x
before
y
upto(
n
)
x
<
y
latex
Definitions
Dec(
P
)
,
P
Q
,
SQType(
T
)
,
{
T
}
,
Unit
,
,
b
,
b
,
if
b
t
else
f
fi
,
i
=
j
,
t
...$L
,
T
,
True
,
tl(
l
)
,
i
j
,
i
<
j
,
hd(
l
)
,
x
before
y
l
,
L1
L2
,
P
Q
,
P
Q
,
S
T
,
S
T
,
l
[
i
]
,
i
j
<
k
,
A
B
,
A
,
False
,
P
Q
,
Prop
,
t
T
,
||
as
||
,
i
j
,
upto(
n
)
,
,
x
:
A
.
B
(
x
)
,
increasing(
f
;
k
)
,
{
i
..
j
}
,
x
:
A
.
B
(
x
)
,
P
&
Q
Lemmas
non
neg
length
,
nat
wf
,
int
seg
wf
,
le
wf
,
select
wf
,
upto
wf
,
length
wf1
,
increasing
wf
,
length
upto
,
select
upto
,
length
cons
,
length
nil
,
eq
int
wf
,
ifthenelse
wf
,
assert
wf
,
not
wf
,
bnot
wf
,
assert
of
eq
int
,
not
functionality
wrt
iff
,
assert
of
bnot
,
iff
transitivity
,
eqff
to
assert
,
eqtt
to
assert
,
bool
wf
,
decidable
int
equal
origin