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 raining if and only if it is snowing. Susan is not a politician. For all z, z is a politician if and only if z is curious. It is snowing if and only if Susan is curious.
If it rains, then it is snowing can be inferred via the biconditional elimination rule. If it snows, then Susan is curious can be inferred via the biconditional elimination rule. If it snows, then it is raining can be inferred via the biconditional elimination rule. If Susan were curious, then it is snowing can be inferred via the biconditional elimination rule. For all z, if z were a politician, then z is curious can be inferred via the universal biconditional elimination rule. For all z, if z were curious, then z is a politician can be inferred via the universal biconditional elimination rule.