Step of Proof: l_before_transitivity
11,40
postcript
pdf
Inference at
*
I
of proof for Lemma
l
before
transitivity
:
T
:Type,
l
:(
T
List),
x
,
y
,
z
:
T
.
no_repeats(
T
;
l
)
x
before
y
l
y
before
z
l
x
before
z
l
latex
by ((Unfolds ``l_before`` 0)
CollapseTHEN ((Auto_aux (first_nat 1:n) ((first_nat 1:n
C
),(first_nat 3:n)) (first_tok :t) inil_term)))
latex
C
1
:
C1:
1.
T
: Type
C1:
2.
l
:
T
List
C1:
3.
x
:
T
C1:
4.
y
:
T
C1:
5.
z
:
T
C1:
6. no_repeats(
T
;
l
)
C1:
7. [
x
;
y
]
l
C1:
8. [
y
;
z
]
l
C1:
[
x
;
z
]
l
C
.
Definitions
t
T
,
x
before
y
l
,
P
Q
,
x
:
A
.
B
(
x
)
,
Lemmas
no
repeats
wf
,
sublist
wf
origin