Nuprl Lemma : strong-subtype-eq1
11,40
postcript
pdf
A
,
B
:Type,
b
:
B
,
a
:
A
. strong-subtype(
A
;
B
)
(
b
=
a
B
)
((
b
A
) c
(
b
=
a
A
))
latex
Definitions
x
:
A
.
B
(
x
)
,
P
Q
,
t
T
,
prop{i:l}
,
A
c
B
,
x
:
A
.
B
(
x
)
,
strong-subtype(
A
;
B
)
Lemmas
strong-subtype
wf
origin
A,B:Type, b:B, a:A. strong-subtype(A; B) 
(b = a 
B) ((b A) c
(b = a A)) A,B:Type, b:B, a:A. strong-subtype(A; B) (b = a B) ((b A) c (b = a A)) x:A. B(x) Q T B
x:A. B(x)