Nuprl Lemma : rel_plus_iff
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
x
:
A
.
B
(
x
)
,
,
P
Q
,
x
f
y
,
x
:
A
.
B
(
x
)
,
P
&
Q
,
P
Q
,
P
Q
,
t
T
,
P
Q
,
{
T
}
,
A
c
B
Lemmas
rel
plus
wf
,
rel
star
wf
,
rel
plus
implies
,
rel
star
iff
,
rel-plus-rel-star
,
rel-star-rel-plus
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))) x:A. B(x) Qx:A. B(x) Q Q
T
Q
B