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: For all z, if z goes running, then z is drinking water. For all z, z will drink water if and only if z will read a book. There is at least one z for which if z reads a book, then z is running.
There is at least one z for which if z reads a book, then z is drinking water can be inferred via the existential transitivity rule. For all z, if z drinks water, then z is reading a book can be inferred via the universal biconditional elimination rule. For all z, if z reads a book, then z is drinking water can be inferred via the universal biconditional elimination rule.