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▲ malisper 2 hours ago

> Given the constraint (3.5 hours of model effort) having a Lean proof is actually a sign that some of the results are likely weak

Can you explain this? How would having a lean proof of the program make it more likely the proof is weak?

▲fspeech 29 minutes ago | parent | next [-]

For example mathlib doesn't develop basic theories like Riemann surfaces, and doesn't have Riemann existence theorem etc. So if you develop a complex analysis result without these there are many things you can't even talk about. Developing basic theories takes time and efforts. See Anthropic FLT proof for example. While 13 million lines headline count may contain 50% redundancies due to agent swarming, on the net they still dedicated millions lines of effort to develop basic theories. And often they developed specialized versions in concrete theories just sufficient for their needs. For example they still don't have Riemann surfaces nor Riemann existence.

▲fspeech 18 minutes ago | parent | prev [-]

Having a Lean proof is an assurance that you proved something. But without going through the definitions we can't know what you proved. This part can't be mechanized. It's like a program that is compiled will likely run, but you can't say it will produce what you want. FLT stands out as everyone can read the statement. This is not true for most open math problems.