Translate the following inference to logic notation: There is at least one x for which if x_10 cooks, then x_10 is an electrician. For all x, x_10 is an electrician and x_10 is an astronaut. For all x, if x_10 were an electrician, then x_10 is cooking. Therefore there is at least one x for which x_10 will cook.
exists x: P(x) -> Q(x). forall x: Q(x) and R(x). forall x: Q(x) -> P(x). Therefore exists x: P(x).