theorem
MathlibNt.SieveTheory.LiLiuOnePlusOneNine.GoldbachBig.goldbachG11GoodSwitchedTotal_le_analyticMain :
∃ (C : ℝ),
0 < C ∧ ∃ (K : ℝ),
1 < K ∧ ∀ (A : ℕ) (ε ρ δ θ : ℝ),
0 < ε →
ε ≤ 1 →
1 < ρ →
ρ ≤ 5 / 4 →
0 < δ →
δ < 1 / 4 →
0 < θ →
θ < 1 / 8 →
∃ (N₀ : ℕ),
4 ≤ N₀ ∧ ∀ (N : ℕ),
N₀ ≤ N →
Even N →
↑(goldbachG11GoodSwitchedTotal N ε (↑N ^ (4 / 53)) (↑N ^ (4 / 33))) ≤ goldbachG11GridAnalyticMain N ε ρ δ θ C K + 5 * ↑N / Real.log ↑N ^ A
Both original-count distribution branches and their evaluated arithmetic main terms. The remaining task is weighted prime-box/Buchstab aggregation.
Inspect dependencies
MathlibNt.SieveTheory.LiLiuOnePlusOneNine.GoldbachBig.goldbachG11GoodSwitchedTotal_le_analyticMain · compiled type and proof/definition references.