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130k Lines of Formal Topology: Simple and Cheap Autoformalization for Everyone?

6 hours ago
  • #LLM
  • #General Topology
  • #Autoformalization
  • A project has autoformalized a large portion of general topology from the Munkres textbook.
  • The project produced 160k lines of formalized topology, with 130k lines completed in two weeks.
  • Key achievements include proofs of Urysohn's lemma (3k lines), Urysohn's Metrization theorem (2k lines), and the Tietze extension theorem (10k lines).
  • The approach involves a feedback loop between an LLM (ChatGPT 5.2 or Claude Sonnet 4.5) and a proof checker (Megalodon).
  • The total cost for the LLM subscription was about $100.
  • The project suggests that autoformalization may become easy and ubiquitous in 2026.