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aaf4b9f | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 | 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
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