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: If Mary were a poet, then it is cloudy. Jessica is curious if and only if it is cloudy. For all y, y is not curious.
If Jessica were curious, then it is cloudy can be inferred via the biconditional elimination rule. If it is cloudy, then Jessica is curious can be inferred via the biconditional elimination rule.