Step of Proof: fseg_extend
11,40
postcript
pdf
Inference at
*
1
1
1
1
1
I
of proof for Lemma
fseg
extend
:
1.
T
: Type
2.
l1
:
T
List
3.
v
:
T
4.
l2
:
T
List
5.
L
:
T
List
6.
l2
= (
L
@
l1
)
7. ||
l1
|| < ||
l2
||
8.
l2
[(||
l2
|| - (||
l1
||+1))] =
v
9.
(
null(
L
))
10.
L'
:
T
List
11.
L
= (
L'
@ [last(
L
)])
12. 0 < ||
L
||
last(
L
) =
L
[((||
L
||+||
l1
||) - (||
l1
||+1))]
latex
by ((((Unfold `last` ( 0)
)
CollapseTHEN (EqCD))
)
CollapseTHEN (Auto'))
latex
C
.
Definitions
last(
L
)
,
l
[
i
]
,
,
x
:
A
.
B
(
x
)
,
P
Q
,
x
:
A
B
(
x
)
,
T
,
True
,
t
T
,
A
,
s
=
t
,
type
List
,
Type
,
P
&
Q
,
x
:
A
B
(
x
)
,
A
B
,
a
<
b
Lemmas
le
wf
,
squash
wf
,
select
wf
origin