Rank | Theorem | Name |
3 | Thm* s':(T+T) List. paren(T;s')  ( i:T. (inr(i) s')  (inl(i) s')) | [paren_balance2] |
cites |
1 | Thm* P:(((T+T) List) Prop). P(nil)  ( s1,s2:(T+T) List. P(s1)  P(s2)  paren(T;s1)  paren(T;s2)  P(s1 @ s2))  ( s:(T+T) List, t:T. P(s)  paren(T;s)  P([inl(t)] @ s @ [inr(t)]))  ( s:(T+T) List. paren(T;s)  P(s)) | [paren_induction] |
0 | Thm* a,x:T. (x [a])  x = a | [member_singleton] |
2 | Thm* x:T, l1,l2:T List. (x l1 @ l2)  (x l1) (x l2) | [member_append] |