Common use of Lemma 2 Clause in Contracts

Lemma 2. Let A ≥ 1 and ε ∈ (0, 1 ] be fixed. Let X ≥ 1, 1 ≤ Q ≤ ∆ and ∆ = Xθ with 1 + 2ε ≤ θ ≤ 1. Then we have that X1/6+ε x<n≤x+q∆ Σ Σ ∫ 2X Σ q≤Q χ(q) (Λ(n)χ(n) − δχ) Q3∆2X logA X , where we define δχ = 1 if χ = χ0 and δχ = 0 otherwise.