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, if z were a bartender, then z is sleeping. For all z, if z drinks water, then z is a bartender. For all z, z will drink water if and only if z will sleep.
For all z, if z drinks water, then z is sleeping can be inferred via the universal transitivity rule. For all z, if z drinks water, then z is sleeping can be inferred via the universal biconditional elimination rule. For all z, if z sleeps, then z is drinking water can be inferred via the universal biconditional elimination rule.