Nuprl Lemma : es-state-when-dstate-when
11,40
postcript
pdf
es
:ES,
e
:E. (state when
e
) = (discrete state when
e
)
discrete state@loc(
e
)
latex
Definitions
Atom$n
,
Type
,
x
:
A
B
(
x
)
,
ES
,
t
.1
,
E
,
Void
,
t
T
,
x
:
A
.
B
(
x
)
,
Top
,
x
:
A
.
B
(
x
)
,
Id
,
False
,
A
,
b
,
s
=
t
,
b
,
,
,
loc(
e
)
,
vartype(
i
;
x
)
,
x
when
e
,
if
b
then
t
else
f
fi
,
discrete(
i
;
x
)
,
x
:
A
B
(
x
)
,
P
Q
,
P
&
Q
,
P
Q
,
Unit
,
left
+
right
,
x
.
A
(
x
)
,
(discrete state when
e
)
,
(state when
e
)
,
discrete state@
i
,
<
a
,
b
>
Lemmas
es-E
wf
,
event
system
wf
,
eqtt
to
assert
,
iff
transitivity
,
eqff
to
assert
,
assert
of
bnot
,
es-isconst
wf
,
es-when
wf
,
subtype
rel
self
,
es-vartype
wf
,
es-loc
wf
,
bool
wf
,
bnot
wf
,
not
wf
,
assert
wf
,
equal-top
origin
es:ES, e:E. (state when e) = (discrete state when e) 
discrete state@loc(e) es:ES, e:E. (state when e) = (discrete state when e) discrete state@loc(e) 
B(x) T
x:A.B(x)x:A. B(x)
A
b
b
B(x)
Q
Q
x.A(x)