Consider the following premises. Thomas is writing a letter if and only if Michael is playing tennis. If Elisabeth were curious, then Thomas is writing a letter. If Thomas writes a letter, then Elisabeth is curious. Can we infer the following from them? The fact that Elisabeth were curious does not imply that Michael is playing tennis.
 From the fact that if Thomas writes a letter, then Elisabeth is curious, and that if Elisabeth were curious, then Thomas is writing a letter we can infer that Thomas is writing a letter if and only if Elisabeth is curious. From the fact that Thomas is writing a letter if and only if Elisabeth is curious we can infer that if Elisabeth were curious, then Thomas is writing a letter. From the fact that Thomas is writing a letter if and only if Michael is playing tennis we can infer that if Thomas writes a letter, then Michael is playing tennis. Finally, from the fact that if Elisabeth were curious, then Thomas is writing a letter, and that if Thomas writes a letter, then Michael is playing tennis we can infer that if Elisabeth were curious, then Michael is playing tennis, which contradicts that The fact that Elisabeth were curious does not imply that Michael is playing tennis. Therefore, the answer is no.