Consider the following premises. Jennifer is not a carpenter. If it is late, then it is snowing. If William were a soldier, then Jennifer is a carpenter. If it snows, then William is a soldier. If William were a soldier, then it is late. Can we infer the following from them? If we can, name the inference rule being used: It is late.
 From the fact that if it is late, then it is snowing, and that if it snows, then William is a soldier we can infer that if it is late, then William is a soldier via transitivity. From the fact that if William were a soldier, then it is late, and that if it is late, then William is a soldier we can infer that William is a soldier if and only if it is late via biconditional introduction. From the fact that if William were a soldier, then Jennifer is a carpenter, and that Jennifer is not a carpenter we can infer that William is not a soldier via modus tollens. Finally, from the fact that William is a soldier if and only if it is late, and that William is not a soldier we can infer that it is not late via biconditional elimination, which contradicts that It is late. Therefore, the answer is no.