接入 NEXT-SDK 的前端应用，右下角会出现一个机器人图标，点击这个图标会从侧边弹出 AI 对话框，我们可以使用自然语言与 AI 对话，让 AI 帮我们操作前端应用。
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，更多细节参见体育直播
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.，这一点在体育直播中也有详细论述
宽容是美德。自己干了亏心事，这时节被宽容是别人的美德；别人干了对不起你的事，这时节的宽容才是自己的美德。生活本就是一场与他人、与自己的和解。行走世间，我们会遇见形形色色的人，经历大大小小的事，难免有摩擦，难免有分歧。若事事计较，则烦恼缠心、戾气满身。
Intel unveils x86 CPU with the industry's highest core count.