Nuprl Lemma : inject_functionality
11,40
postcript
pdf
A
,
B
,
C
:Type,
f
:(
B
C
). strong-subtype(
A
;
B
)
Inj(
B
;
C
;
f
)
Inj(
A
;
C
;
f
)
latex
Definitions
t
T
,
P
Q
,
x
:
A
.
B
(
x
)
,
,
Inj(
A
;
B
;
f
)
,
A
c
B
,
strong-subtype(
A
;
B
)
Lemmas
strong-subtype
wf
,
inject
wf
origin
A, B, C:Type, f:(B
C). strong-subtype(A;B) 
Inj(B;C;f) Inj(A;C;f) A, B, C:Type, f:(BC). strong-subtype(A;B) Inj(B;C;f) Inj(A;C;f) 
T Qx:A. B(x)
B