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: It is cloudy if and only if John is making tea. Patricia is sleeping if and only if it is raining. It is cloudy if and only if Patricia is sleeping. John is not making tea.
If it is cloudy, then John is making tea can be inferred via the biconditional elimination rule. If Patricia sleeps, then it is raining can be inferred via the biconditional elimination rule. If it is cloudy, then Patricia is sleeping can be inferred via the biconditional elimination rule. If John makes tea, then it is cloudy can be inferred via the biconditional elimination rule. If it rains, then Patricia is sleeping can be inferred via the biconditional elimination rule. If Patricia sleeps, then it is cloudy can be inferred via the biconditional elimination rule. It is not cloudy can be inferred via the biconditional elimination rule.