Theorem: DeltaSpikeSupport (PrimeNumberTheoremAnd/MellinCalculus.lean)

State before:
𝕂 : Type u_1
inst✝ : _root_.RCLike 𝕂
Ψ : ℝ → ℝ
ε x : ℝ
εpos : 0 < ε
xnonneg : 0 ≤ x
suppΨ : Function.support Ψ ⊆ Icc (1 / 2) 2
⊢ x ∉ Icc (2 ^ (-ε)) (2 ^ ε) → DeltaSpike Ψ ε x = 0
Tactic:
contrapose!
State after:
𝕂 : Type u_1
inst✝ : _root_.RCLike 𝕂
Ψ : ℝ → ℝ
ε x : ℝ
εpos : 0 < ε
xnonneg : 0 ≤ x
suppΨ : Function.support Ψ ⊆ Icc (1 / 2) 2
⊢ DeltaSpike Ψ ε x ≠ 0 → x ∈ Icc (2 ^ (-ε)) (2 ^ ε)

State before:
𝕂 : Type u_1
inst✝ : _root_.RCLike 𝕂
Ψ : ℝ → ℝ
ε x : ℝ
εpos : 0 < ε
xnonneg : 0 ≤ x
suppΨ : Function.support Ψ ⊆ Icc (1 / 2) 2
⊢ DeltaSpike Ψ ε x ≠ 0 → x ∈ Icc (2 ^ (-ε)) (2 ^ ε)
Tactic:
exact DeltaSpikeSupport' εpos xnonneg suppΨ
State after:
no goals