Nuprl Lemma : strong-subtype_transitivity
0,22
postcript
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A
,
B
,
C
:Type. strong-subtype(
A
;
B
)
strong-subtype(
B
;
C
)
strong-subtype(
A
;
C
)
latex
Definitions
Prop
,
x
:
A
.
B
(
x
)
,
P
Q
,
x
:
A
.
B
(
x
)
,
t
T
,
strong-subtype(
A
;
B
)
,
A
&
B
Lemmas
strong-subtype
wf
origin
A, B, C:Type. strong-subtype(A;B) 
strong-subtype(B;C) strong-subtype(A;C) A, B, C:Type. strong-subtype(A;B) strong-subtype(B;C) strong-subtype(A;C) 
x:A. B(x) Qx:A. B(x)
T