"I noticed that the brick was a very pink-cast brick, and it had a little bit of a charcoal overlay on it. It was a modular eight-inch brick and it was square-edged," he says. "When I saw that, I knew exactly what the brick was," he adds.
Abstract:This is a brief description of a project that has already autoformalized a large portion of the general topology from the Munkres textbook (which has in total 241 pages in 7 chapters and 39 sections). The project has been running since November 21, 2025 and has as of January 4, 2026, produced 160k lines of formalized topology. Most of it (about 130k lines) have been done in two weeks,from December 22 to January 4, for an LLM subscription cost of about \$100. This includes a 3k-line proof of Urysohn's lemma, a 2k-line proof of Urysohn's Metrization theorem, over 10k-line proof of the Tietze extension theorem, and many more (in total over 1.5k lemmas/theorems). The approach is quite simple and cheap: build a long-running feedback loop between an LLM and a reasonably fast proof checker equipped with a core foundational library. The LLM is now instantiated as ChatGPT (mostly 5.2) or Claude Sonnet (4.5) run through the respective Codex or Claude Code command line interfaces. The proof checker is Chad Brown's higher-order set theory system Megalodon, and the core library is Brown's formalization of basic set theory and surreal numbers (including reals, etc). The rest is some prompt engineering and technical choices which we describe here. Based on the fast progress, low cost, virtually unknown ITP/library, and the simple setup available to everyone, we believe that (auto)formalization may become quite easy and ubiquitous in 2026, regardless of which proof assistant is used.
，详情可参考雷电模拟器官方版本下载
local.get $messageStartIndex
特朗普對伊朗戰爭訊息混亂，最終意圖仍不明朗
。体育直播是该领域的重要参考
"objectiveId": "205789981380186112",
在上面这个案例中，AI 精准地还原了上海的地标，并极其自然地处理了巨猫与微缩城市之间的光影和透视关系。，这一点在体育直播中也有详细论述