Step of Proof: fast-fib
11,40
postcript
pdf
Inference at
*
1
1
I
of proof for Lemma
fast-fib
:
1.
a
:
2.
b
:
{
m
:
|
{
k
:
.
{
(
a
= fib(
k
))
((
k
0)
(
b
= 0))
((0 <
k
)
(
b
= fib(
k
- 1)))
(
m
= fib(0+
k
))}
latex
by (UseWitness
a
)
CollapseTHEN (Auto
)
latex
C
.
Definitions
,
s
=
t
,
-
n
,
n
-
m
,
,
{
x
:
A
|
B
(
x
)}
,
,
A
,
False
,
x
:
A
B
(
x
)
,
Void
,
a
<
b
,
fib(
n
)
,
n
+
m
,
P
Q
,
A
B
,
x
:
A
.
B
(
x
)
,
#$n
,
t
T
Lemmas
nat
wf
,
fib
wf
,
le
wf
origin