teorth/analysis：README 来源编辑指南

teorth/analysis 的 README 将项目描述为"A Lean companion to Analysis I"。本文只整理仓库能直接核验的内容，不把星标、Fork 或宣传语当成质量证明。README 在"Lean formalization of Analysis I"下的说明是：The files in this directory contain a formalization of my text Analysis I. The formalization is intended to be as faithful a paraphrasing as possible to the original text, while also showcasing Lean's features and syntax.。这给出的首先是项目边界，而不是已经完成的生产验证。

从 README 的"Lean formalization of Analysis I"和相关条目看，读者可以先判断它是否解决自己的具体问题：Many operations that are left undefined in the text, such as division by zero, or taking the formal limit of a non-Cauchy sequence, are instead assigned a "junk" value (e.g., 0) to make the operation totally defined.。如果你的目标与这段说明不一致，就不应仅凭项目热度采用它。这里保留原项目名、命令和组件名，方便回到一手来源核对。 README 还列出了另一条可核对的信息：Sequences are indexed to start from zero rather than from one, as Mathlib has much more support for the 0-based natural numbers ℕ than the 1-based natural numbers.。这类原文条目可以帮助读者设计试运行步骤，但不能代替自己的环境测试。

README 把工作方式分散写在"Lean formalization of Analysis I"等段落中。可确认的线索包括：While the arrangement of definitions, theorems, and proofs here are closely paraphrasing the textbook, I am refraining from directly quoting material from the textbook, instead providing references to the original text where appropriate.。这篇整理没有把未写出的架构、性能或安全边界补成结论；真正的运行链仍应结合仓库目录、配置文件和版本标签检查。

第一次安装应从 README 给出的入口开始。当前可复核的命令是： README 没有给出可直接复制的安装命令。 如果仓库没有提供命令，本文不会替它编造安装步骤，而是建议先打开 README 的"Sections"部分，确认系统依赖、默认端口和首次初始化动作。

日常使用的细节取决于项目实际文档。README 的"Lean formalization of Analysis I"段落提到：Much of the material in this text is duplicated in Lean's standard math library Mathlib As such, this formalization can also be used as an introduction to various portions of Mathlib.。对于配置文件、环境变量、权限和数据目录，当前稿只记录来源明确的部分；未写明的默认值必须在测试环境中验证，并保留可回滚的配置副本。 同一部分还提到：The Chapter 2 natural numbers are constructed by an inductive type, rather than via a purely axiomatic approach. However, the Peano Axioms are formalized in the epilogue to this chapter.。