The mathematical facepalm is real! In logic, a biconditional statement (p ↔ q) works both ways - that's literally the whole point! It's like saying "I'm hungry if and only if there's no food in the fridge" and then being shocked when someone points out this also means "There's no food in the fridge if and only if I'm hungry." The beauty of biconditionals is you don't need to prove the converse separately - it's baked into the definition! Even parallel lines know this relationship goes both ways. 😂
Rookie Mistake
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