At: auto2 lemma 7 1 1 1 1 1 2 1 2 2 1
1. Alph: Type
2. R: Alph*
Alph*Prop
3. n: 
4. L: Alph*
5. m:
6. 
x:Alph*. R(x,x)
7. x,y:Alph*. R(x,y) 
R(y,x)
8. x,y,z:Alph*. R(x,y) & R(y,z) R(x,z)
9. x,y,z:Alph*. R(x,y) R((z @ x),z @ y)
10. 
w:(nAlph*). l:Alph*. i:n. R(l,w(i))
11. v:(mAlph*). l:Alph*. L(l) 
(i:m. R(l,v(i)))
12. Fin(Alph)
13. x: Alph*
14. y: Alph*
15. l: Alph*
16. 
L(l @ x) = L(l @ y)
17. a': Alph*
18. ||a'|| < n
n
19. R((l @ x),a' @ x)
20. R((l @ y),a' @ y)
21. p,q:Alph*. R(p,q) L(p) = L(q)
22. L(l @ x) = L(a' @ x)
23. L(l @ y) = L(a' @ y)
L(a' @ x) = L(a' @ y)
By:
Analyze 0
THEN
Analyze 16
Generated subgoals:None
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