OAI/NumberTheory/Ostmann/Complete.lean
2 declarations, 0 contain sorry, 0 declared as axioms
Ostmann's inverse Goldbach theorems
The quadratic large sieve and the exact character-zero density estimate give both the two-infinite-summands contradiction and asymptotic indecomposability.
- theorem
OAI.Ostmann.twoInfiniteSummandsImpossibleline 16Source documentation
Theorem 2.3: two infinite nonnegative summands cannot give the primes outside a finite initial interval.
Distinct definitions of this name: ComparatorChallenges/OstmannComplete.lean:33 (same statement text; different proof or body). Qualify references as OAI.Ostmann.twoInfiniteSummandsImpossible@path.
theorem twoInfiniteSummandsImpossible : TwoInfiniteSummandsImpossible := …
- theorem
OAI.Ostmann.inverseGoldbachline 21Source documentation
Theorem 1.1: every sum of two nontrivial sets of nonnegative integers has infinite symmetric difference with the primes.
Distinct definitions of this name: ComparatorChallenges/OstmannComplete.lean:30 (same statement text; different proof or body). Qualify references as OAI.Ostmann.inverseGoldbach@path.
theorem inverseGoldbach : InverseGoldbach := …