Translate the following inference to logic notation: For all x, if x_10 were a lawyer, then x_10 is a writer. For all x, x_10 is a lawyer. There is at least one x for which x_10 will climb a mountain and x_10 will sleep. Therefore there is at least one x for which x_10 will climb a mountain and x_10 is a writer.
forall x: P(x) -> Q(x). forall x: P(x). exists x: R(x) and S(x). Therefore exists x: R(x) and Q(x).