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 y, y will play tennis. For all y, if y plays tennis, then y is a doctor. For all y, if y were a doctor, then y is a carpenter.
For all y, y is a doctor can be inferred via the universal modus ponens rule. For all y, if y plays tennis, then y is a carpenter can be inferred via the universal transitivity rule.