Nuprl Lemma : cond_rel_exp_monotone
4,23
postcript
pdf
n
:
,
T
:Type,
P
:(
T
Prop),
R1
,
R2
:(
T
T
Prop).
when
P
,
R1
=>
R2
R1
preserves
P
when
P
,
R1
^
n
=>
R2
^
n
latex
Definitions
A
B
,
A
,
False
,
R
^
n
,
R
preserves
P
,
when
P
,
R1
=>
R2
,
Prop
,
i
j
,
P
Q
,
x
:
A
.
B
(
x
)
,
t
T
,
,
i
=
j
,
x
f
y
,
Unit
,
P
Q
,
,
b
,
b
,
x
:
A
.
B
(
x
)
,
P
&
Q
Lemmas
le
wf
,
rel
exp
wf
,
assert
wf
,
not
wf
,
bnot
wf
,
bool
wf
,
eq
int
wf
,
assert
of
eq
int
,
not
functionality
wrt
iff
,
assert
of
bnot
,
iff
transitivity
,
eqff
to
assert
,
eqtt
to
assert
,
cond
rel
implies
wf
,
preserved
by
wf
,
nat
wf
,
nat
properties
,
ge
wf
origin