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Handbook of Automated Reasoning by Andrei Voronkov, Alan J.A. Robinson

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Proof

Let M = D , I , ν si196_e be an interpretation and define

S ϕ ( b ¯ n ) = { a ¯ k | M [ y ¯ n / b ¯ n , x ¯ k / a ¯ k ] ϕ }

si197_e

Since M x ¯ k ( ϕ ψ ) si198_e ,we know that S ϕ ( ν ( y ¯ n ) ) si199_e , where ν ( y ¯ n ) abbreviates the sequence ν(y 1),…,ν(y n). Thus we ...

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