Nuprl Lemma : list-equal-set
11,40
postcript
pdf
T
:Type,
P
:(
T
),
L
,
L'
:(
T
List). (
x
L
.
P
(
x
))
(
L
=
L'
)
(
L
=
L'
({
x
:
T
|
P
(
x
)} List))
latex
Definitions
x
L
.
P
(
x
)
,
x
(
s
)
,
Type
,
S
T
,
type
List
,
,
A
B
,
A
,
False
,
s
=
t
,
,
a
<
b
,
x
:
A
B
(
x
)
,
{
x
:
A
|
B
(
x
)}
,
,
x
:
A
.
B
(
x
)
,
x
.
t
(
x
)
,
P
Q
,
x
.
A
(
x
)
,
f
(
a
)
,
t
T
,
||
as
||
,
<
a
,
b
>
,
l
[
i
]
,
Void
,
#$n
,
(
x
l
)
,
{
i
..
j
}
,
i
j
<
k
,
P
&
Q
,
x
:
A
B
(
x
)
Lemmas
le
wf
,
select
member
,
select
wf
,
list-set-type2
,
nat
wf
,
length
wf1
,
list
extensionality
,
l
all
wf
origin