Nuprl Lemma : strong-subtype-set3
11,40
postcript
pdf
A
,
B
:Type,
P
:(
A
prop{i:l}). strong-subtype(
A
;
B
)
strong-subtype({
x
:
A
|
P
(
x
)} ;
B
)
latex
Definitions
x
:
A
.
B
(
x
)
,
prop{i:l}
,
P
Q
,
x
(
s
)
,
t
T
,
True
Lemmas
strong-subtype-set
,
true
wf
,
strong-subtype-set2
,
strong-subtype
wf
,
strong-subtype
transitivity
origin
A,B:Type, P:(A
prop{i:l}). strong-subtype(A; B) 
strong-subtype({x:A| P(x)} ; B) A,B:Type, P:(Aprop{i:l}). strong-subtype(A; B) strong-subtype({x:A| P(x)} ; B) x:A. B(x) Q
T