Nuprl Lemma : R-size-decreases
0,22
postcript
pdf
A
:Realizer. Rplus?(
A
)
{R-size(Rplus-left(
A
))<R-size(
A
) & R-size(Rplus-right(
A
))<R-size(
A
)}
latex
Definitions
x
:
A
.
B
(
x
)
,
P
Q
,
b
,
Rplus?(
x1
)
,
{
T
}
,
P
&
Q
,
R-size(
R
)
,
Rplus-left(
x1
)
,
Rplus-right(
x1
)
,
Prop
,
x
.
t
(
x
)
,
t
T
,
false
,
if
b
t
else
f
fi
,
x
(
s
)
,
,
False
Lemmas
es
realizer-induction
,
assert
wf
,
Rplus?
wf
,
guard
wf
,
R-size
wf
,
Rplus-left
wf
,
nat
plus
wf
,
Rplus-right
wf
,
es
realizer
wf
,
false
wf
,
Rplus
wf
,
Id
wf
,
Knd
wf
,
IdLnk
wf
,
decl-state
wf
,
decl-type
wf
,
fpf
wf
origin