| import OAI.NumberTheory.Ostmann.MainActualProgression | |
| import OAI.NumberTheory.Ostmann.ZeroDensity.ActualThetaEstimate | |
| namespace OAI | |
| /-! # The main statements after discharging the prime-progression input -/ | |
| namespace Ostmann | |
| noncomputable def actualProgressionInput : PublishedProgressionInput := | |
| progressionInput_of_actual_theta actualProgressionTheta | |
| theorem twoInfiniteSummandsImpossible_without_progression_input | |
| (ls : PublishedAdditiveLargeSieve) (hsize : PublishedSummandSizeBound) | |
| (hSiegel : PublishedSiegelBound) (sieve : PublishedQuadraticLargeSieve) | |
| (hD : PublishedComplexZeroDensity actualCharacterZeros) : | |
| TwoInfiniteSummandsImpossible := | |
| twoInfiniteSummandsImpossible_of_actual_progression | |
| actualProgressionTheta ls hsize hSiegel sieve hD | |
| theorem inverseGoldbach_without_progression_input | |
| (ls : PublishedAdditiveLargeSieve) (hsize : PublishedSummandSizeBound) | |
| (hSiegel : PublishedSiegelBound) (sieve : PublishedQuadraticLargeSieve) | |
| (hD : PublishedComplexZeroDensity actualCharacterZeros) : | |
| InverseGoldbach := | |
| inverseGoldbach_of_actual_progression actualProgressionTheta ls hsize hSiegel sieve hD | |
| end Ostmann | |
| end OAI | |