teorth/analysis：README 來源編輯指南

teorth/analysis 的 README 將專案描述為「A Lean companion to Analysis I」。本文只整理倉庫可直接核對的內容，不把 star、Fork 或宣傳語當成品質證明。README 在「Lean formalization of Analysis I」下寫到：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.。這說明的是專案邊界，不是已完成的生產驗證。

從 README 的「Lean formalization of Analysis I」與相關條目，可以先判斷它是否處理你的實際問題：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.。若需求不同，不應只因專案熱度就採用。本文保留原始專案名、命令與元件名，方便回到一手來源核對。 README 另外列出一項可核對的資訊：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.。這類原文條目可用來設計試跑步驟，但不能取代實際環境測試。

README 將運作方式分散在「Lean formalization of Analysis I」等段落。可確認的線索包括：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.。本文不把未寫出的架構、效能或安全邊界補成結論；真正的執行鏈仍要配合目錄、設定檔與版本標籤檢查。

第一次安裝應從 README 指出的入口開始。目前可核對的命令是： README 没有给出可直接复制的安装命令。 如果倉庫沒有命令，本文不會自行編造步驟，而是建議先閱讀「Sections」，確認系統依賴、預設埠與首次初始化。

日常使用取決於專案文件。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.。設定檔、環境變數、權限與資料目錄只在來源明確時才會記錄；沒有寫出的預設值，應在測試環境驗證並保留回滾副本。 同一部分也提到：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.。