Consider the following premises. For all z_4, if z_4 were a scientist, then z_4 is drinking water. For all z_4, z_4 is a scientist or z_4 will not drink water. Can we infer the following from them? If we can, name the inference rule being used: If Linda were a scientist, then Linda is drinking water.
 From the fact that for all z_4, z_4 is a scientist or z_4 will not drink water we can infer that for all z_4, if z_4 drinks water, then z_4 is a scientist via universal rewriting. From the fact that for all z_4, if z_4 drinks water, then z_4 is a scientist, and that for all z_4, if z_4 were a scientist, then z_4 is drinking water we can infer that for all z_4, z_4 will drink water if and only if z_4 is a scientist via universal biconditional introduction. From the fact that for all z_4, z_4 will drink water if and only if z_4 is a scientist we can infer that Linda is drinking water if and only if Linda is a scientist via universal instantiation. Finally, from the fact that Linda is drinking water if and only if Linda is a scientist we can infer that if Linda were a scientist, then Linda is drinking water via biconditional elimination. Therefore, the answer is yes.