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, z will not drink water. For all z, z will work if and only if z will drink water. There is at least one z for which z will drink water if and only if z will work.
For all z, if z works, then z is drinking water can be inferred via the universal biconditional elimination rule. There is at least one z for which if z drinks water, then z is working can be inferred via the existential biconditional elimination rule. For all z, if z drinks water, then z is working can be inferred via the universal biconditional elimination rule. There is at least one z for which if z works, then z is drinking water can be inferred via the existential biconditional elimination rule. There is at least one z for which z will not work can be inferred via the existential biconditional elimination rule. For all z, z will not work can be inferred via the universal biconditional elimination rule.