At:
paren interval
3
1
2
2
1.
T: Type
2.
s: (T+T) List
3.
t: T
4.
no_repeats(T+T;s)
(
s1,s2,s3:(T+T) List, x:T. s = (s1 @ [inl(x) / (s2 @ [inr(x) / s3])]) paren(T;s2))
5.
paren(T;s)
6.
l_disjoint(T+T;[inl(t)];s @ [inr(t)])
7.
no_repeats(T+T;[inl(t)])
8.
l_disjoint(T+T;s;[inr(t)])
9.
no_repeats(T+T;s)
10.
no_repeats(T+T;[inr(t)])
11.
u: T+T
12.
v: (T+T) List
13.
s2: (T+T) List
14.
s3: (T+T) List
15.
x: T
16.
inl(t) = u
17.
(s @ [inr(t)]) = (v @ [inl(x) / (s2 @ [inr(x) / s3])])
18.
e: (T+T) List
19.
v = (s @ e)
20.
[inr(t)] = (e @ [inl(x) / (s2 @ [inr(x) / s3])])
paren(T;s2)
By:
ApFunToHypEquands `l' ||l|| 
-1
THEN
RepeatFor 2
((RWW
Thm* as,bs:T List. ||as @ bs|| = ||as||+||bs|| 
-1)
THEN
(Reduce -1))
Generated subgoals:
None
About:
