# teorth/analysis

A Lean companion to Analysis I

Repository: https://github.com/teorth/analysis
Canonical: https://ross.abutalabs.com/products/analysis
Homepage: https://teorth.github.io/analysis/
Language: Lean
License: Apache-2.0
License Family: permissive
Last push: 2026-08-23T17:06:07+00:00

## Health v2 (maintenance only)
Score: 63/100 (v2, computed 2026-09-03T02:20:16.233290+00:00)
- activity 99, release rhythm 35, longevity 32
- inputs: {"age_days": 459, "days_push": 10, "days_rel": null, "gap_med": null, "n_releases_24m": 0}
- flags: no_releases
- formula: round(0.45*activity + 0.35*rhythm + 0.20*longevity); archived -> min(score, 10)

## Adoption (not part of the score)
Stars 1873, forks 262 (observed 2026-08-28T04:05:47.147535+00:00)

## What it is
A Lean 4 formalization of Terence Tao's textbook 'Analysis I', serving as a faithful companion to the text. It doubles as an introduction to Lean and the Mathlib library, with exercises left as `sorry` placeholders for readers to complete.

## Use cases
- learn Lean by following a real analysis textbook
- formalize Analysis I exercises in Lean
- introduction to Mathlib definitions and conventions
- study formal mathematics alongside Tao's Analysis I
- practice proving theorems in a proof assistant

## When to choose
- you are reading Analysis I and want a machine-checked companion
- you want a gentle, structured introduction to Lean and Mathlib
- you want exercises to fill in as `sorry`s

## When to avoid
- you need an efficient or idiomatic Lean library for production use
- you want a self-contained formalization independent of Mathlib
- you need a replacement for the textbook itself

## Facets
- artifact type: learning-resource
- maturity: active
- function: interpreter, documentation, math
- domain: mathematics, education, tutorials
- platform: cross-platform
- tags: lean, formalization, proof-assistant, mathlib, analysis, textbook-companion

## Member repositories
- teorth/analysis (main) score 63

## Provenance
- Observed fields: from GitHub, fetched 2026-08-28T04:05:47.147535+00:00.
- Health v2: computed from the inputs above; adoption is never an input.
- Inferred fields (summary, facets, guidance): AI-extracted, prompt v1, taxonomy v1, on 2026-08-30T03:14:50.606918+00:00, confidence not recorded.
  - readme: https://github.com/teorth/analysis (fetched 2026-08-28T04:05:47.147535+00:00, sha 66dcb62ef926)
  - homepage: https://teorth.github.io/analysis/ (fetched 2026-08-29T10:53:45.414806+00:00, sha d7403cc539ca)
- Data as of 2026-08-30T08:39:29.467469+00:00.