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: If it is overcast, then it is late. It is cold if and only if it is overcast. It is not cloudy. It is late if and only if it is cloudy.
If it is cold, then it is overcast can be inferred via the biconditional elimination rule. If it is late, then it is cloudy can be inferred via the biconditional elimination rule. If it is overcast, then it is cold can be inferred via the biconditional elimination rule. If it is cloudy, then it is late can be inferred via the biconditional elimination rule. It is not late can be inferred via the biconditional elimination rule.