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 late if and only if Michael is reading a book. John is cooking if and only if Richard is a bartender. For all y, y is not a bartender. It is not late.
If it is late, then Michael is reading a book can be inferred via the biconditional elimination rule. If John cooks, then Richard is a bartender can be inferred via the biconditional elimination rule. If Michael reads a book, then it is late can be inferred via the biconditional elimination rule. If Richard were a bartender, then John is cooking can be inferred via the biconditional elimination rule. Michael is not reading a book can be inferred via the biconditional elimination rule.