Nuprl Lemma : assert-fpf-is-empty
0,22
postcript
pdf
A
:Type,
B
:(
A
Type),
f
:
x
:
A
fp
B
(
x
). fpf-is-empty(
f
)
f
=
latex
Definitions
2of(
t
)
,
1of(
t
)
,
True
,
False
,
,
Unit
,
x
:
A
.
B
(
x
)
,
A
&
B
,
,
A
B
,
A
,
P
Q
,
P
&
Q
,
P
Q
,
P
Q
,
,
Prop
,
x
.
t
(
x
)
,
a
:
A
fp
B
(
a
)
,
,
fpf-is-empty(
f
)
,
x
(
s
)
,
(
x
l
)
,
i
=
j
,
||
as
||
,
x
:
A
.
B
(
x
)
,
t
T
,
b
Lemmas
length
wf1
,
eq
int
wf
,
fpf
wf
,
fpf-empty
wf
,
assert
wf
,
l
member
wf
,
length
zero
,
assert
of
eq
int
,
false
wf
,
unit
wf
,
it
wf
,
pi1
wf
,
pi2
wf
origin
A:Type, B:(A
Type), f:x:A fp B(x). fpf-is-empty(f) 
f = A:Type, B:(AType), f:x:A fp B(x). fpf-is-empty(f) f = 
x:A. B(x)
B
A Q
Q Q
x. t(x) B(a)
l)jx:A. B(x) T
b