Nuprl Lemma : rel_inverse_star
4,23
postcript
pdf
T
:Type,
R
:(
T
T
Prop),
x
,
y
:
T
. (
x
R
^*^-1
y
)
(
x
(
R
^-1^*)
y
)
latex
Definitions
P
Q
,
P
&
Q
,
P
Q
,
P
Q
,
x
f
y
,
R
^*
,
R
^-1
,
x
:
A
.
B
(
x
)
,
Prop
,
t
T
,
x
:
A
.
B
(
x
)
,
R
^
n
Lemmas
rel
inverse
exp
,
rel
exp
wf
,
rel
inverse
wf
,
rel
star
wf
origin
T:Type, R:(T
TProp), x, y:T. (x R^*^-1 y) 
(x (R^-1^*) y) T:Type, R:(TTProp), x, y:T. (x R^*^-1 y) (x (R^-1^*) y) Q
Q Qx:A. B(x)
T
x:A. B(x)