👉 In logic and mathematics, a nonimplication is a logical statement that does not logically entail the consequent. It states that if some condition is true, then its negation is also true. In other words, it asserts that a conditional statement cannot be both true and false at the same time. Nonimplications are often used in proofs to establish the truth of certain statements by demonstrating their negation's falsity. They can serve as a useful tool for proving logical equivalences between different propositions
