Translate the following inference to logic notation: If Michael sleeps, then Robert is writing a letter. For all x, if y_3 were a nurse, then y_3 is writing a letter. Robert is a nurse or Michael is sleeping. For all x, if y_3 writes a letter, then y_3 is a nurse. Therefore Robert is writing a letter.
p -> P(a). forall x: Q(x) -> P(x). Q(a) or p. forall x: P(x) -> Q(x). Therefore P(a).