Project home · Lean Doc · Li–Liu proof structure
  • 1 Two counting theorems and their proof routes ▶
    • 1.1 What is being counted?
    • 1.2 The mathematical plan
    • 1.3 Reading a sieve estimate
    • 1.4 How to use the three layers
  • 2 Prime distribution and sieve foundations ▶
    • 2.1 Analytic foundations of the two Goldbach arguments
  • 3 Chen: a prime plus at most two primes ▶
    • 3.1 Chen’s theorem: from a signed sieve weight to representations
  • 4 Li–Liu: two factors with a prescribed imbalance ▶
    • 4.1 Li–Liu’s asymmetric Goldbach theorem
  • 5 Reading the formal implementation ▶
    • 5.1 Reusable proofs and source boundaries
    • 5.2 Finding and checking a declaration
    • 5.3 Mathematical sources and attribution
  • All documented lemmas — proof graph
  • Two counting theorems and their proof routes — proof graph
  • Prime distribution and sieve foundations — proof graph
  • Chen: a prime plus at most two primes — proof graph
  • Li–Liu: two factors with a prescribed imbalance — proof graph

goldbach-lean: Chen and Li–Liu theorems

goldbach-lean contributors

  • 1 Two counting theorems and their proof routes
    • 1.1 What is being counted?
    • 1.2 The mathematical plan
    • 1.3 Reading a sieve estimate
    • 1.4 How to use the three layers
  • 2 Prime distribution and sieve foundations
    • 2.1 Analytic foundations of the two Goldbach arguments
  • 3 Chen: a prime plus at most two primes
    • 3.1 Chen’s theorem: from a signed sieve weight to representations
  • 4 Li–Liu: two factors with a prescribed imbalance
    • 4.1 Li–Liu’s asymmetric Goldbach theorem
  • 5 Reading the formal implementation
    • 5.1 Reusable proofs and source boundaries
    • 5.2 Finding and checking a declaration
    • 5.3 Mathematical sources and attribution