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 windy if and only if it is sunny. It is sunny if and only if it is late. Elisabeth is curious or it is not late. If Elisabeth were curious, then it is late. It is not windy.
If it is late, then Elisabeth is curious can be inferred via the rewriting rule. If it is windy, then it is sunny can be inferred via the biconditional elimination rule. If it is sunny, then it is late can be inferred via the biconditional elimination rule. If it is sunny, then it is windy can be inferred via the biconditional elimination rule. If it is late, then it is sunny can be inferred via the biconditional elimination rule. It is not sunny can be inferred via the biconditional elimination rule.