Nuprl Lemma : product_functionality_wrt_equi[pollent_left
11,40
postcript
pdf
A
,
B
,
C
,
D
:Type.
A
~
B
(
C
=
D
)
:
A
C
~
:
B
D
latex
Definitions
x
:
A
B
(
x
)
,
x
:
A
B
(
x
)
,
Bij(
A
;
B
;
f
)
,
x
:
A
.
B
(
x
)
,
Type
,
s
=
t
,
P
Q
,
x
:
A
.
B
(
x
)
,
A
~
B
,
t
T
,
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
,
x
.
t
(
x
)
,
t
.1
,
t
.2
,
Lemmas
pi2
wf
,
pi1
wf
,
biject
wf
origin
A, B, C, D:Type. A ~ B 
(C = D) :A 
C ~ :B D A, B, C, D:Type. A ~ B (C = D) :A C ~ :B D B(x)
B(x)
x:A. B(x) Qx:A. B(x)
T
x.A(x)
x. t(x)