Nuprl Lemma : atom-free-es-state-without
0,22
postcript
pdf
es
:ES,
i
,
x
:Id. AtomFree(Type;state@
i
\\
x
)
latex
Definitions
state@
i
\\
x
,
ES
,
t
T
,
x
:
A
.
B
(
x
)
,
vartype(
i
;
x
)
,
x
.
A
(
x
)
,
Type
,
Id
,
x
:
A
B
(
x
)
,
AtomFree(
T
;
x
)
,
f
(
a
)
,
Top
,
a
=
b
,
if
b
t
else
f
fi
,
s
~
t
,
Void
,
#$n
,
a
<
b
,
False
,
P
Q
,
A
,
A
B
,
,
{
x
:
A
|
B
(
x
) }
,
,
Atom
,
x
:
A
B
(
x
)
Lemmas
ifthenelse
wf
,
eq
id
wf
,
top
wf
,
es-vartype
wf
,
atom-free-Id
,
atom-free-es-vartype
,
Id
wf
,
event
system
wf
origin
es:ES, i, x:Id. AtomFree(Type;state@i\\x) es:ES, i, x:Id. AtomFree(Type;state@i\\x) 
Tx:A. B(x)
x.A(x)
B(x)
t else f fi
Q
A
B
B(x)