Translate the following inference to logic notation: There is at least one x for which x_5 is a sailor if and only if x_5 is a lawyer. For all x, if x_5 were a sailor, then x_5 is making tea. Therefore there is at least one x for which if x_5 were a lawyer, then x_5 is making tea.
exists x: P(x) <-> Q(x). forall x: P(x) -> R(x). Therefore exists x: Q(x) -> R(x).