Nuprl Lemma : product_functionality_wrt_equipollent_right
11,40
postcript
pdf
A
,
B
,
C
:Type.
A
~
B
:
C
A
~
:
C
B
latex
Definitions
x
:
A
B
(
x
)
,
x
:
A
.
B
(
x
)
,
Type
,
t
T
,
x
:
A
.
B
(
x
)
,
Bij(
A
;
B
;
f
)
,
x
:
A
B
(
x
)
,
,
P
Q
,
A
~
B
,
f
(
a
)
,
<
a
,
b
>
,
let
x
,
y
=
A
in
B
(
x
;
y
)
,
x
.
A
(
x
)
,
Surj(
A
;
B
;
f
)
,
Inj(
A
;
B
;
f
)
,
P
&
Q
,
s
=
t
,
x
.
t
(
x
)
,
t
.1
,
t
.2
Lemmas
pi2
wf
,
pi1
wf
,
biject
wf
origin
A, B, C:Type. A ~ B 
:C 
A ~ :C B A, B, C:Type. A ~ B :C A ~ :C B B(x)
x:A. B(x)
Tx:A. B(x)
B(x)
Q
x.A(x)
x. t(x)