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 Patricia were a politician, then it is sunny. It is windy if and only if it is sunny. Patricia is a poet if and only if it is windy. Patricia is not a poet.
If it is windy, then it is sunny can be inferred via the biconditional elimination rule. If Patricia were a poet, then it is windy 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 windy, then Patricia is a poet can be inferred via the biconditional elimination rule. It is not windy can be inferred via the biconditional elimination rule.