👉 Denying a mathematical statement involves proving its negation, which is the opposite of the original assertion. For instance, if you're given "If P, then Q" (P → Q), to deny this statement, you must show that P is true when Q is false, or vice versa. This means you need to find a specific case where P holds true but Q does not, effectively disproving the conditional relationship. The process often involves logical reasoning and counterexamples to establish that the negation holds universally, thus proving the original statement false.