Nuprl Lemma : cond_rel_star_monotone
4,23
postcript
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T
:Type,
P
:(
T
Prop),
R1
,
R2
:(
T
T
Prop).
when
P
,
R1
=>
R2
R1
preserves
P
when
P
,
R1
^* =>
R2
^*
latex
Definitions
R
^*
,
when
P
,
R1
=>
R2
,
,
R
preserves
P
,
Prop
,
x
:
A
.
B
(
x
)
,
x
f
y
,
R
^
n
,
P
Q
,
x
:
A
.
B
(
x
)
,
t
T
Lemmas
cond
rel
exp
monotone
,
rel
exp
wf
,
preserved
by
wf
,
nat
wf
origin
T:Type, P:(T
Prop), R1, R2:(TTProp).
R1 preserves P when P, R1^* => R2^* T:Type, P:(TProp), R1, R2:(TTProp).
R1 preserves P when P, R1^* => R2^* 
x:A. B(x) Qx:A. B(x)
T