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At: auto2 lemma 8 1 3
1. Alph: Type
2. R: Alph*Alph*Prop
3. n:
4. L: Alph*
5. m:
6. (x:Alph*. R(x,x)) & (x,y:Alph*. R(x,y) R(y,x)) & (x,y,z:Alph*. R(x,y) & R(y,z) R(x,z)) & (x,y,z:Alph*. R(x,y) R((z @ x),z @ y)) & (w:(nAlph*). l:Alph*. i:n. R(l,w(i))) & (v:(mAlph*). l:Alph*. L(l) (i:m. R(l,v(i)))) & Fin(Alph)
7. x: Alph*
8. y: Alph*
9. Dec(x@0:Alph*. (l.L(l @ x) = L(l @ y))(x@0))

Dec(l:Alph*. L(l @ x) = L(l @ y))
By: Reduce 9
Generated subgoals:

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