Step of Proof: adjacent-append
11,40
postcript
pdf
Inference at
*
1
1
2
1
1
1
1
I
of proof for Lemma
adjacent-append
:
1.
T
: Type
2.
x
:
T
3.
y
:
T
4.
L1
:
T
List
5.
L2
:
T
List
6.
i
: {0..(||
L1
@
L2
|| - 1)
}
7.
x
=
L1
[
i
]
8.
y
=
L2
[((
i
+1) - ||
L1
||)]
9.
i
< ||
L1
||
10.
(
i
< (||
L1
|| - 1))
L1
[
i
] = last(
L1
)
latex
by ((RepUR ``last`` 0)
CollapseTHEN (((EqCD)
CollapseTHEN (Auto
))
))
latex
C
.
Definitions
last(
L
)
,
,
x
:
A
.
B
(
x
)
,
x
:
A
B
(
x
)
,
T
,
True
,
t
T
,
#$n
,
l
[
i
]
,
False
,
P
Q
,
,
n
-
m
,
n
+
m
,
-
n
,
||
as
||
,
s
=
t
,
{
i
..
j
}
,
type
List
,
Type
,
P
&
Q
,
x
:
A
B
(
x
)
,
A
B
,
a
<
b
,
A
Lemmas
select
wf
,
squash
wf
,
le
wf
,
length
wf1
origin