At:
paren order1
3
1
2
2
1
1
1.
T: Type
2.
s: (T+T) List
3.
t: T
4.
i:T, s1,s2:(T+T) List. s = (s1 @ [inl(i)] @ s2) 
(inr(i) 
s2)
5.
paren(T;s)
6.
i: T
7.
s1: (T+T) List
8.
s2: (T+T) List
9.
([inl(t)] @ s @ [inr(t)]) = (s1 @ [inl(i)] @ s2)
10.
e: (T+T) List
11.
[inl(t)] = (s1 @ e)
12.
([inl(i)] @ s2) = (e @ s @ [inr(t)])
13.
e = nil
14.
s1 = [inl(t)]
15.
([inl(i)] @ s2) = (s @ [inr(t)])
16.
e1: (T+T) List
17.
[inl(i)] = (s @ e1)
18.
[inr(t)] = [inl(i) / s2]
19.
s = nil
20.
e1 = [inl(i)]
(inr(i) s2)
By:
ObviousContradiction [-3]
Generated subgoals:
None
About:
