Nuprl Lemma : rel-star-rel-plus
0,22
postcript
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T
:Type,
R
:(
T
T
Prop),
x
,
y
,
z
:
T
. (
x
(
R
^*)
y
)
(
y
R
z
)
(
x
R
^+
z
)
latex
Definitions
T
,
True
,
P
Q
,
P
Q
,
P
Q
,
A
&
B
,
P
&
Q
,
A
B
,
A
,
False
,
R
^*
,
R
^+
,
P
Q
,
,
,
x
f
y
,
rel_exp(
T
;
R
;
n
)
,
x
:
A
.
B
(
x
)
,
Prop
,
t
T
,
x
:
A
.
B
(
x
)
Lemmas
rel
exp
wf
,
nat
wf
,
nat
plus
inc
,
le
wf
,
rel
exp
iff
,
true
wf
,
squash
wf
origin
T:Type, R:(T
TProp), x, y, z:T. (x (R^*) y) 
(y R z) (x R^+ z) T:Type, R:(TTProp), x, y, z:T. (x (R^*) y) (y R z) (x R^+ z) 
T
Q Q
Q
B
A Q
x:A. B(x)
T
x:A. B(x)