Nuprl Lemma : normal-ds-single
0,22
postcript
pdf
x
:Id,
T
:Type. Normal(
T
)
Normal(
x
:
T
)
latex
Definitions
Type
,
Normal(
ds
)
,
x
dom(
f
).
v
=
f
(
x
)
P
(
x
;
v
)
,
Normal(
T
)
,
f
(
x
)
,
b
,
x
dom(
f
)
,
x
:
v
,
x
.
t
(
x
)
,
x
.
A
(
x
)
,
P
Q
,
P
&
Q
,
x
:
A
B
(
x
)
,
x
:
A
B
(
x
)
,
IdDeq
,
Top
,
x
:
A
.
B
(
x
)
,
Void
,
Atom$n
,
s
~
t
,
Prop
,
s
=
t
,
Id
,
SQType(
T
)
,
x
:
A
.
B
(
x
)
,
P
Q
,
{
T
}
,
t
T
Lemmas
Id
sq
,
Id
wf
,
id-deq
wf
,
fpf-single-dom
,
top
wf
,
fpf-single
wf
,
fpf-dom
wf
,
assert
wf
,
normal-type
wf
origin
x:Id, T:Type. Normal(T) 
Normal(x : T) x:Id, T:Type. Normal(T) Normal(x : T) x
dom(f). v=f(x) P(x;v)
b dom(f)
x. t(x)x.A(x)
Q
B(x)
B(x)
x:A. B(x)x:A. B(x) Q T