Consider the following premises. p_15 -> p. p_15 or q_6. p -> p_15. q_6 -> p. Can we infer p or w from them? If possible, name the inference rules being used at each step.
 From p_15 -> p, p -> p_15 we can infer p_15 <-> p via biconditional introduction. From p_15 <-> p we can infer p_15 -> p via biconditional elimination. From p_15 -> p, q_6 -> p, p_15 or q_6 we can infer p via disjunction elimination. Finally, from p we can infer p or w via addition. Therefore, the answer is yes.