Nuprl Lemma : atom-free-es-state
0,22
postcript
pdf
es
:ES,
i
:Id. AtomFree(Type;state@
i
)
latex
Definitions
Void
,
t
T
,
x
:
A
.
B
(
x
)
,
#$n
,
a
<
b
,
False
,
P
Q
,
A
,
A
B
,
,
{
x
:
A
|
B
(
x
) }
,
,
Atom
,
x
:
A
B
(
x
)
,
state@
i
,
ES
,
vartype(
i
;
x
)
,
x
.
A
(
x
)
,
Type
,
Id
,
x
:
A
B
(
x
)
,
AtomFree(
T
;
x
)
,
f
(
a
)
,
s
~
t
Lemmas
atom-free-es-vartype
,
atom-free-Id
,
event
system
wf
,
Id
wf
,
es-vartype
wf
origin
es:ES, i:Id. AtomFree(Type;state@i) es:ES, i:Id. AtomFree(Type;state@i) 
Tx:A. B(x)
Q
A
B
B(x)
x.A(x)
B(x)