Consider the following premises. If Jennifer were fast, then it is overcast. Jessica is a scientist if and only if it is overcast. If Elisabeth were a police officer, then Richard is a soldier. Jessica is a scientist if and only if Elisabeth is a police officer. Can we infer the following from them? The fact that Jennifer were fast does not imply that Richard is a soldier.
 From the fact that Jessica is a scientist if and only if Elisabeth is a police officer we can infer that if Jessica were a scientist, then Elisabeth is a police officer. From the fact that if Jessica were a scientist, then Elisabeth is a police officer, and that if Elisabeth were a police officer, then Richard is a soldier we can infer that if Jessica were a scientist, then Richard is a soldier. From the fact that Jessica is a scientist if and only if it is overcast we can infer that if it is overcast, then Jessica is a scientist. From the fact that if it is overcast, then Jessica is a scientist, and that if Jessica were a scientist, then Richard is a soldier we can infer that if it is overcast, then Richard is a soldier. Finally, from the fact that if Jennifer were fast, then it is overcast, and that if it is overcast, then Richard is a soldier we can infer that if Jennifer were fast, then Richard is a soldier, which contradicts that The fact that Jennifer were fast does not imply that Richard is a soldier. Therefore, the answer is no.