Consider the following premises. For all x_14, x_14 is an astronaut if and only if x_14 will climb a mountain. For all x_14, x_14 will not climb a mountain. Richard is an astronaut if and only if Patricia is a musician. Can we infer the following from them? Patricia is not a musician.
 From the fact that for all x_14, x_14 is an astronaut if and only if x_14 will climb a mountain, and that for all x_14, x_14 will not climb a mountain we can infer that for all x_14, x_14 is not an astronaut. From the fact that for all x_14, x_14 is not an astronaut we can infer that Richard is not an astronaut. From the fact that Richard is an astronaut if and only if Patricia is a musician we can infer that if Patricia were a musician, then Richard is an astronaut. Finally, from the fact that if Patricia were a musician, then Richard is an astronaut, and that Richard is not an astronaut we can infer that Patricia is not a musician. Therefore, the answer is yes.