Nuprl Lemma : rel_star_monotonic
11,40
postcript
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T
:Type,
R1
,
R2
:(
T
T
),
x
,
y
:
T
.
R1
=>
R2
(
x
(
R1
^*)
y
)
(
x
(
R2
^*)
y
)
latex
Definitions
t
T
,
x
f
y
,
P
Q
,
,
x
:
A
.
B
(
x
)
,
R1
=>
R2
Lemmas
rel
implies
wf
,
rel
star
wf
,
rel
star
monotone
origin
T:Type, R1, R2:(T
T
), x, y:T. R1 => R2 
(x (R1^*) y) (x (R2^*) y) T:Type, R1, R2:(TT), x, y:T. R1 => R2 (x (R1^*) y) (x (R2^*) y) 
T Qx:A. B(x)