| import OAI.NumberTheory.Ostmann.MainWithoutProgression | |
| import OAI.NumberTheory.Ostmann.Preliminaries.AdditiveSieveProof | |
| namespace OAI | |
| /-! # Both main theorems after discharging the additive large sieve -/ | |
| namespace Ostmann | |
| theorem twoInfiniteSummandsImpossible_without_additive_sieve | |
| (hsize : PublishedSummandSizeBound) (hSiegel : PublishedSiegelBound) | |
| (sieve : PublishedQuadraticLargeSieve) | |
| (hD : PublishedComplexZeroDensity actualCharacterZeros) : | |
| TwoInfiniteSummandsImpossible := | |
| twoInfiniteSummandsImpossible_without_progression_input | |
| publishedAdditiveLargeSieve hsize hSiegel sieve hD | |
| theorem inverseGoldbach_without_additive_sieve | |
| (hsize : PublishedSummandSizeBound) (hSiegel : PublishedSiegelBound) | |
| (sieve : PublishedQuadraticLargeSieve) | |
| (hD : PublishedComplexZeroDensity actualCharacterZeros) : | |
| InverseGoldbach := | |
| inverseGoldbach_without_progression_input publishedAdditiveLargeSieve hsize hSiegel sieve hD | |
| end Ostmann | |
| end OAI | |