At: auto2 lemma 4 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 2 1 1 1 2 1
1. Alph: Type
2. R: Alph*
Alph*Prop
3. n: 
4. 
x:Alph*. R(x,x)
5. x,y:Alph*. R(x,y) 
R(y,x)
6. x,y,z:Alph*. R(x,y) & R(y,z) R(x,z)
7. x,y,z:Alph*. R(x,y) R((z @ x),z @ y)
8. 
w:(nAlph*). l:Alph*. i:n. R(l,w(i))
9. b: Alph*
10. c: Alph*
11. n@0:
12. l: Alph*
13. ||l|| = n@0
14. 
||l|| < n
n
15. a': Alph*
16. ||a'|| < ||l||
17. R((l @ b),a' @ b)
18. R((l @ c),a' @ c)
19. a'@0: Alph*
20. ||a'@0|| < nn
21. R((a' @ b),a'@0 @ b)
22. R((a' @ c),a'@0 @ c)
R((l @ b),a'@0 @ b)
By: InstHyp [l @ b;a' @ b;a'@0 @ b] 6
Generated subgoals:None
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