Nuprl Lemma : function_functionality_wrt_equipollent_left
11,40
postcript
pdf
A
,
B
,
C
:Type.
A
~
B
A
C
~
B
C
latex
Definitions
P
Q
,
x
:
A
.
B
(
x
)
,
x
:
A
B
(
x
)
,
A
~
B
,
Type
,
x
:
A
B
(
x
)
,
x
:
A
.
B
(
x
)
,
t
T
,
Bij(
A
;
B
;
f
)
,
f
o
g
,
x
.
A
(
x
)
,
Surj(
A
;
B
;
f
)
,
Inj(
A
;
B
;
f
)
,
P
&
Q
,
s
=
t
,
,
f
(
a
)
,
s
~
t
Lemmas
compose
wf
,
equipollent
inversion
origin
A, B, C:Type. A ~ B 
A
C ~ BC A, B, C:Type. A ~ B AC ~ BC Qx:A. B(x)B(x)
B(x)
x:A. B(x)
T
x.A(x)