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: Barbara is not a carpenter. For all z, z is a carpenter if and only if z will drink water. For all z, z is a carpenter if and only if z will drink water.
For all z, if z were a carpenter, then z is drinking water can be inferred via the universal biconditional elimination rule. For all z, if z were a carpenter, then z is drinking water can be inferred via the universal biconditional elimination rule. For all z, if z drinks water, then z is a carpenter can be inferred via the universal biconditional elimination rule. For all z, if z drinks water, then z is a carpenter can be inferred via the universal biconditional elimination rule.