Final low-only producer for Standard Bombieri--Vinogradov #
The chosen high-conductor source is unconditional, so the final assembly retains only the genuine low-end input. At source level this is exactly the nonprincipal primitive Siegel--Walfisz source together with the modulus-one global principal PNT source.
theorem
AnalyticNumberTheory.LargeSieve.standardBombieriVinogradov_of_lowSiegelWalfiszSource
(hlow : StandardBVLowSiegelWalfiszSource)
:
Once the low Siegel--Walfisz contract is supplied, the unconditional chosen high source closes Standard Bombieri--Vinogradov.
theorem
AnalyticNumberTheory.LargeSieve.standardBombieriVinogradov_of_nonprincipalPrimitivePsi_lowOnly
(hSW : NonprincipalPrimitivePsiSiegelWalfiszSource)
(hPNT : GlobalChebyshevToLiPrincipalPNTSourceContract)
:
Final source-level low-only producer. There is no historical Vaughan-row
premise: the high source is standardBVHighChosenUnconditional.