Nuprl Lemma : preserved_by_monotone
4,23
postcript
pdf
T
:Type,
P
:(
T
Prop),
R1
,
R2
:(
T
T
Prop).
(
x
,
y
:
T
. (
x
R1
y
)
(
x
R2
y
))
R2
preserves
P
R1
preserves
P
latex
Definitions
R
preserves
P
,
x
:
A
.
B
(
x
)
,
P
Q
,
x
f
y
,
Prop
,
t
T
origin
T:Type, P:(T
Prop), R1, R2:(TTProp).
x, y:T. (x R1 y) 
(x R2 y)) R2 preserves P R1 preserves P T:Type, P:(TProp), R1, R2:(TTProp).
x, y:T. (x R1 y) (x R2 y)) R2 preserves P R1 preserves P x:A. B(x) Q
T