Nuprl Lemma : rel_exp_iff
11,40
postcript
pdf
n
:
,
T
:Type,
R
:(
T
T
prop{i:l}),
x
,
y
:
T
.
(
x
rel_exp(
T
;
R
;
n
)
y
)
((
z
:
T
. ((0 <
n
) c
((
x
rel_exp(
T
;
R
; (
n
- 1))
z
)
(
z
R
y
))))
((
n
= 0
)
(
x
=
y
)))
latex
Definitions
x
:
A
.
B
(
x
)
,
t
T
,
P
Q
,
P
Q
,
ge(
i
;
j
)
,
A
B
,
A
,
False
,
prop{i:l}
,
P
Q
,
x
f
y
,
rel_exp(
T
;
R
;
n
)
,
x
:
A
.
B
(
x
)
,
A
c
B
,
P
Q
,
P
Q
,
guard(
T
)
,
Y
,
if
b
then
t
else
f
fi
,
(
i
=
j
)
,
tt
,
,
ff
,
sq_type(
T
)
,
,
Unit
,
decidable(
P
)
,
Lemmas
nat
wf
,
nat
properties
,
ge
wf
,
rel
exp
wf
,
le
wf
,
eq
int
wf
,
bool
wf
,
iff
transitivity
,
assert
wf
,
eqtt
to
assert
,
assert
of
eq
int
,
bnot
wf
,
not
wf
,
eqff
to
assert
,
assert
of
bnot
,
not
functionality
wrt
iff
,
decidable
int
equal
,
bool
cases
,
bool
sq
origin