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 is rich. For all y, if y were rich, then y is cooking. There is at least one y for which if y cooks, then y is curious.
For all y, y will cook can be inferred via the universal modus ponens rule. There is at least one y for which if y were rich, then y is curious can be inferred via the existential transitivity rule.