Consider the following premises. forall x_10: P_10(x_10) <-> Q_8(x_10). forall x_10: Q_10(x_10) -> Q_8(x_10). forall x_10: P_10(x_10). Can we infer forall x: Q_8(x) from them? If possible, name the inference rules being used at each step.
We cannot infer that from the premises. Therefore the answer is no.