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 is a scientist if and only if y is happy. For all y, if y were a scientist, then y is happy.
There is at least one y for which if y were a scientist, then y is happy can be inferred via the existential biconditional elimination rule. There is at least one y for which if y were happy, then y is a scientist can be inferred via the existential biconditional elimination rule.