Nuprl Lemma : es-pstar-q_functionality_wrt_iff
0,22
postcript
pdf
es
:ES,
e1
:E,
e2
:{
e
:E| loc(
e
) = loc(
e1
)
Id },
p
,
q
,
p'
,
q'
:({
e
:E| loc(
e
) = loc(
e1
)
Id }
{
e
:E| loc(
e
) = loc(
e1
)
Id }
Prop).
(
a
,
b
:{
e
:E| loc(
e
) = loc(
e1
)
Id }. (
a
[
e1
,
e2
])
(
b
[
e1
,
e2
])
(
p
(
a
,
b
)
p'
(
a
,
b
)))
(
a
,
b
:{
e
:E| loc(
e
) = loc(
e1
)
Id }. (
a
[
e1
,
e2
])
(
b
[
e1
,
e2
])
(
q
(
a
,
b
)
q'
(
a
,
b
)))
([
e1
;
e2
]~([
a
,
b
].
p
(
a
,
b
))*[
a
,
b
].
q
(
a
,
b
)
[
e1
;
e2
]~([
a
,
b
].
p'
(
a
,
b
))*[
a
,
b
].
q'
(
a
,
b
))
latex
Definitions
t
T
,
x
:
A
.
B
(
x
)
,
P
Q
,
P
Q
,
P
&
Q
,
P
Q
,
ES
,
E
,
loc(
e
)
,
Id
,
Prop
,
x
(
s1
,
s2
)
,
[
e
,
e'
]
,
(
x
l
)
,
{
T
}
,
x
,
y
.
t
(
x
;
y
)
Lemmas
es-pstar-q
functionality
wrt
rev
implies
,
l
member
wf
,
es-interval
wf
,
iff
wf
,
Id
wf
,
es-loc
wf
,
es-E
wf
,
event
system
wf
,
es-pstar-q
wf
origin