Nuprl Lemma : es-invariant2
0,22
postcript
pdf
es
:ES,
i
,
x
,
y
:Id,
I
:(vartype(
i
;
x
)
vartype(
i
;
y
)
Prop).
e
@
i
. first(
e
)
I
(
x
when
e
,
y
when
e
) &
e
@
i
.
I
(
x
when
e
,
y
when
e
)
I
((
x
after
e
),(
y
after
e
))
@
i
always.
I
(
x
,
y
)
latex
Definitions
vartype(
i
;
x
)
,
loc(
e
)
,
(
x
after
e
)
,
pred(
e
)
,
x
when
e
,
@
i
always.
P
(
x1
;
x2
)
,
x
.
t
(
x
)
,
e
@
i
.
P
(
e
)
,
E
,
A
,
b
,
first(
e
)
,
Prop
,
P
Q
,
P
&
Q
,
P
Q
,
P
Q
,
x
(
s1
,
s2
)
,
ES
,
Id
,
x
:
A
.
B
(
x
)
,
T
,
True
,
t
T
Lemmas
es-vartype
wf
,
es-when
wf
,
es-after-pred
,
es-loc-pred
,
es-after
wf
,
es-pred
wf
,
es-loc
wf
,
es-first
wf
,
assert
wf
,
not
wf
,
alle-at-iff
,
true
wf
,
squash
wf
,
event
system
wf
,
Id
wf
,
alle-at
wf
,
es-E
wf
origin