Consider the following premises. For all x_1, if x_1 takes a plane, then x_1 is writing a letter. For all x_1, if x_1 were curious, then x_1 is poor. There is at least one x_1 for which if x_1 were poor, then x_1 is taking a plane. Can we infer the following from them? There is at least one x_1 for which if x_1 were curious, then x_1 is writing a letter.
 From the fact that there is at least one x_1 for which if x_1 were poor, then x_1 is taking a plane, and that for all x_1, if x_1 takes a plane, then x_1 is writing a letter we can infer that there is at least one x_1 for which if x_1 were poor, then x_1 is writing a letter. Finally, from the fact that for all x_1, if x_1 were curious, then x_1 is poor, and that there is at least one x_1 for which if x_1 were poor, then x_1 is writing a letter we can infer that there is at least one x_1 for which if x_1 were curious, then x_1 is writing a letter. Therefore, the answer is yes.