fwuermse / lean-hm

A lean 4 formalization of stuff I learned in uni.

HM math in Lean 4

This repository contains formalizations of mathematics taught at Hochschule München. It tries to stick as closely as possible to the definitions and proofs used there. Note that this is formalized using Lean 4 so mathlib is in fact (on purpose) not available here since this is meant as a learning project for Lean 4, not a how to mathlib.

Modules

• calculus
  • logic
  • functions
  • limits
  • derivatives
  • integration
  • series
• discrete
  • set theory and relations
  • injective, surjective, bijevtive etc.
  • number theory
  • permutations
  • landau
  • graph theory is excluded on purpose since even mathlib is only getting started with formalizing it
• cs theory
  • regular expressions
  • DFA/NFA
  • PDA
  • turing machines and P vs NP are excluded since even mathlib's formalization is rather different from what we learn (or non existent)