Lean set-theory Projects

con-nf

1 52 9.6 Lean

A formal consistency proof of Quine's set theory New Foundations

Project mention: New Foundations is consistent – a difficult mathematical proof proved using Lean | news.ycombinator.com | 2024-04-23

But like, you can look at what parts of Mathlib this development imports, it's mainly stuff imported by files in this subdirectory https://github.com/leanprover-community/con-nf/tree/main/Con... , and it's pretty basic things: the definition of a permutation, a cardinal number etc. Almost all of these are things that would feature in the first one or two years of an undergraduate math degree (from just quickly scanning it, the most advanced thing I could see is the definition of cofinality of ordinals). It seems practically impossible to me that someone would make a mistake when e.g. defining what a group is, in a way subtle enough to later break this advanced theorem. If you think that people could mess up that, then all of math would be in doubt.

InfluxDB

www.influxdata.com featured

Power Real-Time Data Analytics at Scale. Get real-time insights from all types of time series data with InfluxDB. Ingest, query, and analyze billions of data points in real-time with unbounded cardinality.

NOTE: The open source projects on this list are ordered by number of github stars. The number of mentions indicates repo mentiontions in the last 12 Months or since we started tracking (Dec 2020).