Nuprl Lemma : sum_functionality
4,23
postcript
pdf
n
:
,
f
,
g
:(
n
). (
i
:
n
.
f
(
i
) =
g
(
i
))
sum(
f
(
x
) |
x
<
n
) = sum(
g
(
x
) |
x
<
n
)
latex
Definitions
i
j
,
sum(
f
(
x
) |
x
<
k
)
,
,
S
T
,
S
T
,
Unit
,
P
Q
,
i
=
j
,
,
b
,
Prop
,
b
,
x
(
s
)
,
{
i
..
j
}
,
i
j
<
k
,
P
&
Q
,
A
B
,
A
,
False
,
P
Q
,
primrec(
n
;
b
;
c
)
,
x
:
A
.
B
(
x
)
,
t
T
Lemmas
assert
wf
,
not
wf
,
bnot
wf
,
bool
wf
,
eq
int
wf
,
assert
of
eq
int
,
not
functionality
wrt
iff
,
assert
of
bnot
,
iff
transitivity
,
eqff
to
assert
,
eqtt
to
assert
,
le
wf
,
int
seg
wf
,
nat
wf
,
nat
properties
,
ge
wf
origin