Consider the following premises. If it snows, then Karen is making tea. Mary is curious if and only if it is sunny. If Mary were curious, then Patricia is a politician. If it is overcast, then Mary is curious. It is sunny or it is overcast. If Patricia were a politician, then it is snowing. Can we infer the following from them? If we can, name the inference rule being used: Karen is making tea.
 From the fact that Mary is curious if and only if it is sunny we can infer that if it is sunny, then Mary is curious via biconditional elimination. From the fact that if it is sunny, then Mary is curious, that if it is overcast, then Mary is curious, and that it is sunny or it is overcast we can infer that Mary is curious via disjunction elimination. From the fact that if Mary were curious, then Patricia is a politician, and that Mary is curious we can infer that Patricia is a politician via modus ponens. From the fact that if Patricia were a politician, then it is snowing, and that if it snows, then Karen is making tea we can infer that if Patricia were a politician, then Karen is making tea via transitivity. Finally, from the fact that if Patricia were a politician, then Karen is making tea, and that Patricia is a politician we can infer that Karen is making tea via modus ponens. Therefore, the answer is yes.