What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? Name the inference rule being used: For all x_9, x_9 will climb a mountain if and only if x_9 will drink water. For all x_9, if x_9 were a police officer, then x_9 is making tea. For all x_9, if x_9 makes tea, then x_9 is drinking water. For all x_9, if x_9 climbs a mountain, then x_9 is a police officer.
For all x_9, if x_9 were a police officer, then x_9 is drinking water can be inferred via the universal transitivity rule. For all x_9, if x_9 climbs a mountain, then x_9 is making tea can be inferred via the universal transitivity rule. For all x_9, if x_9 climbs a mountain, then x_9 is drinking water can be inferred via the universal biconditional elimination rule. For all x_9, if x_9 drinks water, then x_9 is climbing a mountain can be inferred via the universal biconditional elimination rule.