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Let = {xP (x, x), P (u, v), P (u, v) P (v, u), P (v, u) P (u, u)} and suppose that = and
Let = {xP (x, x), P (u, v), P (u, v) P (v, u), P (v, u) P (u, u)}
and suppose that = and that the only inference rules we work with are of the Modus Ponens type. Prove that there is no deduction of P (v, v) from in this specific system.
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