Consider the following premises. For all x_12, if x_12 were a carpenter, then x_12 is writing a letter. For all x_12, x_12 will write a letter if and only if x_12 is rich. If Linda were rich, then Linda is a carpenter. Can we infer the following from them? If we can, name the inference rule being used: If is not true that Linda is a carpenter if and only if Linda is rich.
That contradicts the premises. Therefore the answer is no.