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 z, z is a police officer or z will not climb a mountain. For all z, if z were a police officer, then z is a bartender. For all z, if z were a bartender, then z is climbing a mountain. For all z, z is bored if and only if z is a bartender. For all z, z is not bored.
For all z, if z were a police officer, then z is climbing a mountain can be inferred via the universal transitivity rule. For all z, if z climbs a mountain, then z is a police officer can be inferred via the universal rewriting rule. For all z, if z were bored, then z is a bartender can be inferred via the universal biconditional elimination rule. For all z, if z were a bartender, then z is bored can be inferred via the universal biconditional elimination rule. For all z, z is not a bartender can be inferred via the universal biconditional elimination rule.