| 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 | |