Consider the following premises. p_10 <-> q. r_3 -> p_10. q -> r_3. Can we infer p_10 -> r_3 from them? If possible, name the inference rules being used at each step.
 From p_10 <-> q we can infer p_10 -> q via biconditional elimination. Finally, from p_10 -> q, q -> r_3 we can infer p_10 -> r_3 via transitivity. Therefore, the answer is yes.