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