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 an artist, then z is playing a game. There is at least one z for which if z were a bartender, then z is an artist. For all z, z will make tea if and only if z is a bartender.
There is at least one z for which if z were a bartender, then z is playing a game can be inferred via the existential transitivity rule. For all z, if z makes tea, 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 making tea can be inferred via the universal biconditional elimination rule.