Theorem: psi_ne_zero_iff (Carleson/Carleson.lean)

State before:
X : Type u_1
a : ℝ
inst✝⁵ : MetricSpace X
inst✝⁴ : IsSpaceOfHomogeneousType X a
inst✝³ : Inhabited X
τ q q' C : ℝ
Θ : Set C(X, ℂ)
inst✝² : IsCompatible Θ
inst✝¹ : IsCancellative a Θ
F G : Set X
K : X → X → ℂ
inst✝ : IsCZKernel a K
D : ℝ
ψ : ℝ → ℝ
s : ℤ
x✝ y : X
hD✝ : D > D1_1 a τ q
hψ : LipschitzWith (Cψ1_1 a τ q) ψ
h2ψ : support ψ = Ioo (4 * D)⁻¹ 2⁻¹
h3ψ : ∀ x > 0, ∑ s ∈ nonzeroS D x, ψ (D ^ s * x) = 1
x : ℝ
hx : 0 < x
hD : 1 < D
⊢ ψ (D ^ s * x) ≠ 0 ↔ s ∈ nonzeroS D x
Tactic:
rw [← mem_support, h2ψ, mem_nonzeroS_iff hx hD]
State after:
no goals