Nuprl Lemma : rel_exp_monotone
11,40
postcript
pdf
n
:
,
T
:Type,
R1
,
R2
:(
T
T
prop{i:l}).
rel_implies(
T
;
R1
;
R2
)
rel_implies(
T
; rel_exp(
T
;
R1
;
n
); rel_exp(
T
;
R2
;
n
))
latex
Definitions
False
,
A
,
A
B
,
ge(
i
;
j
)
,
P
Q
,
t
T
,
x
:
A
.
B
(
x
)
,
tt
,
(
i
=
j
)
,
if
b
then
t
else
f
fi
,
Y
,
x
f
y
,
rel_exp(
T
;
R
;
n
)
,
rel_implies(
T
;
R1
;
R2
)
,
prop{i:l}
,
ff
,
,
P
Q
,
x
:
A
.
B
(
x
)
,
A
c
B
,
P
Q
,
Unit
,
,
Lemmas
ge
wf
,
nat
properties
,
nat
wf
,
rel
implies
wf
,
not
functionality
wrt
iff
,
assert
of
bnot
,
eqff
to
assert
,
assert
of
eq
int
,
eqtt
to
assert
,
iff
transitivity
,
le
wf
,
rel
exp
wf
,
not
wf
,
bnot
wf
,
assert
wf
,
bool
wf
,
eq
int
wf
origin