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 x, x is a bartender if and only if x will listen to a song. It is not overcast. Jessica is a sailor if and only if it is overcast. If Thomas listens to a song, then Jessica is a sailor.
If Jessica were a sailor, then it is overcast can be inferred via the biconditional elimination rule. If it is overcast, then Jessica is a sailor can be inferred via the biconditional elimination rule. Jessica is not a sailor can be inferred via the biconditional elimination rule. For all x, if x were a bartender, then x is listening to a song can be inferred via the universal biconditional elimination rule. For all x, if x listens to a song, then x is a bartender can be inferred via the universal biconditional elimination rule.