Consider the following premises. If it is cold, then Patricia is making tea. For all x_17, if x_17 makes tea, then x_17 is rich. Patricia is rich if and only if it is cold. Can we infer the following from them? If we can, name the inference rule being used: If Patricia were rich, then Patricia is making tea.
 From the fact that for all x_17, if x_17 makes tea, then x_17 is rich we can infer that if Patricia makes tea, then Patricia is rich via universal instantiation. From the fact that Patricia is rich if and only if it is cold we can infer that if Patricia were rich, then it is cold via biconditional elimination. Finally, from the fact that if Patricia were rich, then it is cold, and that if it is cold, then Patricia is making tea we can infer that if Patricia were rich, then Patricia is making tea via transitivity. Therefore, the answer is yes.