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 cold if and only if it is windy. If Sarah were a poet, then it is windy. Sarah is a poet if and only if it is late. If it is cold, then it is late.
If it is cold, then it is windy can be inferred via the biconditional elimination rule. If Sarah were a poet, then it is late can be inferred via the biconditional elimination rule. If it is windy, then it is cold can be inferred via the biconditional elimination rule. If it is late, then Sarah is a poet can be inferred via the biconditional elimination rule.