Proof Is By ✨ Mathematical Enlightenment ✨

The ultimate mathematician brain evolution! Starting with the basic "The proof is following =>" (primitive brain), then leveling up to "proof by contradiction" (slightly activated brain), before ascending to the infamous "exercise left to the reader" (enlightened brain) which is just code for "I don't want to do this part." But the final form? "The proof is by magic" with a transcendent glowing brain! That's what professors pull when they're 5 minutes from the end of class and realize they've painted themselves into a mathematical corner. It's the academic equivalent of saying "and then a miracle occurs" in your calculations. Every math student has experienced that moment of betrayal when they realize their homework requires deciphering what the professor deemed "trivial" but is actually quantum physics-level complexity.