Translate the following inference to logic notation: There is at least one x for which x_7 is a poet if and only if x_7 will go running. For all x, x_7 is sad or x_7 is not a poet. Therefore there is at least one x for which if x_7 goes running, then x_7 is sad.
exists x: P(x) <-> Q(x). forall x: R(x) or ~P(x). Therefore exists x: Q(x) -> R(x).