Consider the following premises. For all x, if x were a soldier, then x is a scientist. For all x, if x were a scientist, then x is drinking water. There is at least one x for which x is a soldier or x will not drink water. Can we infer the following from them? For all x, if is not true that x will drink water if and only if x is a soldier.
 From the fact that for all x, if x were a soldier, then x is a scientist, and that for all x, if x were a scientist, then x is drinking water we can infer that for all x, if x were a soldier, then x is drinking water. From the fact that there is at least one x for which x is a soldier or x will not drink water we can infer that there is at least one x for which if x drinks water, then x is a soldier. Finally, from the fact that there is at least one x for which if x drinks water, then x is a soldier, and that for all x, if x were a soldier, then x is drinking water we can infer that there is at least one x for which x will drink water if and only if x is a soldier, which contradicts that For all x, if is not true that x will drink water if and only if x is a soldier. Therefore, the answer is no.