Translate the following inference to logic notation: For all x, x_8 will drink water and x_8 will write a letter. For all x, if x_8 drinks water, then x_8 is curious. For all x, if x_8 were curious, then x_8 is drinking water. Therefore for all x, x_8 is curious.
forall x: P(x) and Q(x). forall x: P(x) -> R(x). forall x: R(x) -> P(x). Therefore forall x: R(x).