Consider the following premises. For all x_20, if x_20 plays squash, then x_20 is a bartender. Thomas is playing squash if and only if Jennifer is a janitor. Thomas is a bartender if and only if Robert is a writer. Can we infer the following from them? If Jennifer were a janitor, then Robert is a writer.
 From the fact that for all x_20, if x_20 plays squash, then x_20 is a bartender we can infer that if Thomas plays squash, then Thomas is a bartender. From the fact that Thomas is playing squash if and only if Jennifer is a janitor we can infer that if Jennifer were a janitor, then Thomas is playing squash. From the fact that if Jennifer were a janitor, then Thomas is playing squash, and that if Thomas plays squash, then Thomas is a bartender we can infer that if Jennifer were a janitor, then Thomas is a bartender. From the fact that Thomas is a bartender if and only if Robert is a writer we can infer that if Thomas were a bartender, then Robert is a writer. Finally, from the fact that if Jennifer were a janitor, then Thomas is a bartender, and that if Thomas were a bartender, then Robert is a writer we can infer that if Jennifer were a janitor, then Robert is a writer. Therefore, the answer is yes.