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180bc03 | 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 | import OAI.NumberTheory.TwoPoint.ConditionalMain
import OAI.NumberTheory.TwoPoint.Bounds.PrimeReciprocalTheorem
import OAI.NumberTheory.TwoPoint.Fourier.ModFivePrimeNumberTheorem
namespace OAI
/-! All three main statements with the two proved prime-distribution inputs
discharged. Only the circuit and MRT inputs remain parameters. -/
namespace TwoPointCorrelations
theorem liouvilleLogSaving_of_circuit_mrt (hBr : BravermanDepth22Input)
(hMRT : MRTLiouvilleShortInput) : LiouvilleLogSaving :=
conditional_liouvilleLogSaving modFiveThetaInput hBr primeReciprocalInput hMRT
theorem binaryCorrectedElliott_of_circuit_mrt (hBr : BravermanDepth22Input)
(hMRT : MRTShortExponentialInput) : BinaryCorrectedElliott :=
conditional_binaryCorrectedElliott modFiveThetaInput hBr primeReciprocalInput hMRT
theorem affineCorrectedElliott_of_circuit_mrt (hBr : BravermanDepth22Input)
(hMRT : MRTShortExponentialInput) : AffineCorrectedElliott :=
conditional_affineCorrectedElliott modFiveThetaInput hBr primeReciprocalInput hMRT
end TwoPointCorrelations
end OAI
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