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: Joseph is drinking water if and only if Mary is fast. Mary is not fast. It is late. Barbara is driving a car if and only if Joseph is drinking water.
Mary is not fast and it is late can be inferred via the conjunction rule. It is late and Mary is not fast can be inferred via the conjunction rule. If Joseph drinks water, then Mary is fast can be inferred via the biconditional elimination rule. If Barbara drives a car, then Joseph is drinking water can be inferred via the biconditional elimination rule. If Mary were fast, then Joseph is drinking water can be inferred via the biconditional elimination rule. If Joseph drinks water, then Barbara is driving a car can be inferred via the biconditional elimination rule. Joseph is not drinking water can be inferred via the biconditional elimination rule.