Nuprl Lemma : fpf-compatible-single2
0,22
postcript
pdf
A
:Type,
eq
:EqDecider(
A
),
B
:(
A
Type),
f
:
a
:
A
fp
B
(
a
),
x
:
A
,
v
:
B
(
x
).
x
dom(
f
)
x
:
v
||
f
latex
Definitions
f
||
g
,
A
,
b
,
x
dom(
f
)
,
Top
,
a
:
A
fp
B
(
a
)
,
EqDecider(
T
)
,
x
:
v
,
x
.
t
(
x
)
,
x
:
A
.
B
(
x
)
,
P
Q
,
x
(
s
)
,
t
T
Lemmas
fpf-compatible-single
,
fpf-single
wf
,
fpf-compatible-symmetry
,
deq
wf
,
fpf
wf
,
fpf-trivial-subtype-top
,
fpf-dom
wf
,
assert
wf
,
not
wf
origin
A:Type, eq:EqDecider(A), B:(A
Type), f:a:A fp B(a), x:A, v:B(x). 
x 
dom(f) 
x : v || f A:Type, eq:EqDecider(A), B:(AType), f:a:A fp B(a), x:A, v:B(x). x dom(f) x : v || f A
b dom(f) B(a)
x. t(x)x:A. B(x) Q T