| import OAI.NumberTheory.TwoPoint.PartiallyDischargedMain | |
| import OAI.NumberTheory.TwoPoint.Circuits.BravermanDepth22Theorem | |
| namespace OAI | |
| /-! The three manuscript main results after discharging both prime inputs | |
| and the fixed-depth Braverman input. Only the published MRT inputs remain. -/ | |
| namespace TwoPointCorrelations | |
| theorem liouvilleLogSaving_of_mrt (hMRT : MRTLiouvilleShortInput) : LiouvilleLogSaving := | |
| liouvilleLogSaving_of_circuit_mrt bravermanDepth22Input hMRT | |
| theorem binaryCorrectedElliott_of_mrt (hMRT : MRTShortExponentialInput) : BinaryCorrectedElliott := | |
| binaryCorrectedElliott_of_circuit_mrt bravermanDepth22Input hMRT | |
| theorem affineCorrectedElliott_of_mrt (hMRT : MRTShortExponentialInput) : AffineCorrectedElliott := | |
| affineCorrectedElliott_of_circuit_mrt bravermanDepth22Input hMRT | |
| end TwoPointCorrelations | |
| end OAI | |