Nuprl Lemma : rel_plus_iff2
11,40
postcript
pdf
T
:Type,
R
:(
T
T
),
x
,
z
:
T
. (
x
R
^+
z
)
(
y
:
T
. ((
x
R
y
) & (
y
(
R
^*)
z
)))
latex
Definitions
P
Q
,
P
Q
,
P
Q
,
R
^+
,
x
f
y
,
f
(
a
)
,
R
^*
,
x
:
A
.
B
(
x
)
,
x
:
A
B
(
x
)
,
,
t
T
,
Type
,
x
:
A
.
B
(
x
)
,
P
&
Q
,
x
:
A
B
(
x
)
,
P
Q
,
left
+
right
,
s
=
t
,
{
T
}
,
A
c
B
Lemmas
rel-star-rel-plus2
,
rel-plus-rel-star
,
rel
star
iff2
,
rel
plus
implies2
,
rel
star
wf
,
rel
plus
wf
origin
T:Type, R:(T
T
), x, z:T. (x R^+ z) 
(
y:T. ((x R y) & (y (R^*) z))) T:Type, R:(TT), x, z:T. (x R^+ z) (y:T. ((x R y) & (y (R^*) z))) Q Q Qx:A. B(x)B(x)
Tx:A. B(x)
B(x)
Q
B