Translate the following inference to logic notation: For all x, x_7 will drive a car if and only if x_7 is a nurse. For all x, if x_7 were a nurse, then x_7 is making tea. For all x, if x_7 makes tea, then x_7 is driving a car. Therefore for all x, x_7 is a nurse if and only if x_7 will make tea.
forall x: P(x) <-> Q(x). forall x: Q(x) -> R(x). forall x: R(x) -> P(x). Therefore forall x: Q(x) <-> R(x).