Nuprl Lemma : pigeon-hole
4,23
postcript
pdf
n
,
m
:
,
f
:(
n
m
). Inj(
n
;
m
;
f
)
n
m
latex
Definitions
i
>
j
,
S
T
,
l
[
i
]
,
A
&
B
,
P
Q
,
Dec(
P
)
,
i
j
<
k
,
x
.
t
(
x
)
,
||
as
||
,
sum(
f
(
x
) |
x
<
k
)
,
P
&
Q
,
x
:
A
.
B
(
x
)
,
t
T
,
x
:
A
.
B
(
x
)
,
,
{
i
..
j
}
,
Inj(
A
;
B
;
f
)
,
P
Q
,
False
,
A
,
A
B
Lemmas
inject
wf
,
int
seg
wf
,
nat
wf
,
finite-partition
,
sum
bound
,
le
wf
,
length
wf1
,
decidable
le
,
select
wf
,
not
wf
origin