Nuprl Lemma : rel_star_iff
0,22
postcript
pdf
T
:Type,
R
:(
T
T
Prop),
x
,
y
:
T
. (
x
(
R
^*)
y
)
(
z
:
T
. (
x
(
R
^*)
z
) & (
z
R
y
))
x
=
y
latex
Definitions
i
=
j
,
T
,
True
,
{
T
}
,
A
,
False
,
A
B
,
A
&
B
,
R
^*
,
P
Q
,
P
Q
,
P
Q
,
,
rel_exp(
T
;
R
;
n
)
,
x
:
A
.
B
(
x
)
,
x
f
y
,
Prop
,
t
T
,
P
Q
,
P
&
Q
,
x
:
A
.
B
(
x
)
Lemmas
rel
exp
wf
,
nat
wf
,
rel
exp
iff
,
le
wf
,
true
wf
,
squash
wf
origin
T:Type, R:(T
TProp), x, y:T. (x (R^*) y) 
(
z:T. (x (R^*) z) & (z R y)) 
x = y T:Type, R:(TTProp), x, y:T. (x (R^*) y) (z:T. (x (R^*) z) & (z R y)) x = y 
j
T
A
B Q
Q Q
x:A. B(x)
T Qx:A. B(x)