Nuprl Lemma : R-sub-implies
11,40
postcript
pdf
A
,
B
:es_realizer{i:l}.
R-sub{i:l}(
A
;
B
)
(
es
:event_system{i:l}. R-consistent(
B
;
es
)
R-consistent(
A
;
es
))
latex
Definitions
P
Q
,
True
,
R-consistent(
R
;
es
)
,
ge(
i
;
j
)
,
False
,
A
,
A
B
,
guard(
T
)
,
sq_type(
T
)
,
prop{i:l}
,
t
T
,
P
Q
,
x
:
A
.
B
(
x
)
,
,
P
Q
,
ff
,
tt
,
P
Q
,
if
b
then
t
else
f
fi
,
Y
,
,
R-sub{i:l}(
A
;
B
)
Lemmas
Rplus-right
wf
,
Rplus-left
wf
,
Rplus-implies
,
R-size-decreases
,
Rplus?
wf
,
Rnone?-implies
,
ge
wf
,
nat
properties
,
assert
of
bnot
,
eqff
to
assert
,
not
wf
,
bnot
wf
,
assert
wf
,
iff
transitivity
,
eqtt
to
assert
,
bool
wf
,
bool
sq
,
Rnone?
wf
,
bool
cases
,
es
realizer
wf
,
nat
plus
wf
,
le
wf
,
R-sub
wf
,
event
system
wf
,
R-consistent
wf
,
R-size
wf
,
nat
wf
origin