Prove that there are compound statements that are not equivalent to any statement using only the connectives ( ightarrow) and (vee). Exercises 47-50 show that

Prove that there are compound statements that are not equivalent to any statement using only the connectives \(\rightarrow\) and \(\vee\).

Exercises 47-50 show that defining four basic logical connectives (conjunction, disjunction, implication, and negation) is a convenience rather than a necessity because certain pairs of connectives are enough to express any wff.