Nuprl Lemma : rel_plus_monotone
0,22
postcript
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T
:Type,
R1
,
R2
:(
T
T
Prop).
R1
=>
R2
R1
^+ =>
R2
^+
latex
Definitions
R
^+
,
R1
=>
R2
,
,
Prop
,
x
:
A
.
B
(
x
)
,
x
f
y
,
rel_exp(
T
;
R
;
n
)
,
P
Q
,
x
:
A
.
B
(
x
)
,
t
T
Lemmas
nat
plus
inc
,
rel
exp
wf
,
nat
plus
wf
,
rel
exp
monotone
origin
T:Type, R1, R2:(T
TProp). R1 => R2 
R1^+ => R2^+ T:Type, R1, R2:(TTProp). R1 => R2 R1^+ => R2^+ 
x:A. B(x) Qx:A. B(x)
T