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