Nuprl Lemma : equipollent_weakening
11,40
postcript
pdf
A
,
B
:Type. (
A
=
B
)
A
~
B
latex
Definitions
t
T
,
x
:
A
.
B
(
x
)
,
Bij(
A
;
B
;
f
)
,
x
:
A
.
B
(
x
)
,
x
:
A
B
(
x
)
,
x
:
A
B
(
x
)
,
s
~
t
,
{
T
}
,
Type
,
s
=
t
,
P
Q
,
SQType(
T
)
,
A
~
B
,
x
.
A
(
x
)
,
,
Surj(
A
;
B
;
f
)
,
Inj(
A
;
B
;
f
)
,
P
&
Q
Lemmas
biject
wf
origin
A, B:Type. (A = B) 
A ~ B A, B:Type. (A = B) A ~ B 
Tx:A. B(x)
x:A. B(x)
B(x)
B(x) Q
x.A(x)