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 sunny if and only if it is windy. It is cloudy. It is windy if and only if Charles is a poet. Patricia is reading a book if and only if it is sunny. Patricia is not reading a book.
It is cloudy and Patricia is not reading a book can be inferred via the conjunction rule. Patricia is not reading a book and it is cloudy can be inferred via the conjunction rule. If it is sunny, then it is windy can be inferred via the biconditional elimination rule. If it is windy, then Charles is a poet can be inferred via the biconditional elimination rule. If Patricia reads a book, then it is sunny can be inferred via the biconditional elimination rule. If it is windy, then it is sunny can be inferred via the biconditional elimination rule. If Charles were a poet, then it is windy can be inferred via the biconditional elimination rule. If it is sunny, then Patricia is reading a book can be inferred via the biconditional elimination rule. It is not sunny can be inferred via the biconditional elimination rule.