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: There is at least one y for which y will cook if and only if y is a musician. For all y, y is not a musician.
There is at least one y for which if y cooks, then y is a musician can be inferred via the existential biconditional elimination rule. There is at least one y for which if y were a musician, then y is cooking can be inferred via the existential biconditional elimination rule. There is at least one y for which y will not cook can be inferred via the existential biconditional elimination rule.