Attached is a full proof by Gemini 2.5 Pro #DeepThink with our experts' comments https://
drive.google.com/file/d/1PaKXo4
0u_c4Ti7k5-3gz8b1cjp92U7ED/view?usp=sharing
…. Here I quote a few important moments in the proof:
(a) Expert: The main part of the solution begins with a "proof by contradiction", which is a reasonable choice considering
Gemini 2.5 Pro Deep Think Mathematical Proof Analysis
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