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 y, y is a poet if and only if y will sleep. It is overcast if and only if Patricia is sleeping. For all y, y is not a poet.
If it is overcast, then Patricia is sleeping can be inferred via the biconditional elimination rule. If Patricia sleeps, then it is overcast can be inferred via the biconditional elimination rule. For all y, if y were a poet, then y is sleeping can be inferred via the universal biconditional elimination rule. For all y, if y sleeps, then y is a poet can be inferred via the universal biconditional elimination rule. For all y, y will not sleep can be inferred via the universal biconditional elimination rule.