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: John is not making tea. It is cloudy if and only if Barbara is reading a book. If Barbara reads a book, then it is windy. John is making tea if and only if it is windy.
If it is cloudy, then Barbara is reading a book can be inferred via the biconditional elimination rule. If John makes tea, then it is windy can be inferred via the biconditional elimination rule. If Barbara reads a book, then it is cloudy can be inferred via the biconditional elimination rule. If it is windy, then John is making tea can be inferred via the biconditional elimination rule. It is not windy can be inferred via the biconditional elimination rule.