aesop
A✝ B✝ : Set ℕ
n : ℕ
A B : Set ℕ
hA : 0 ∈ A
hB : 0 ∈ B
α : ℝ := schnirelmannDensity A
halpha : α = schnirelmannDensity A
β : ℝ := schnirelmannDensity B
hbeta : β = schnirelmannDensity B
dum : α * (1 - β) + β = α + β - α * β
main : ∀ (n : ℕ), (α * (1 - β) + β) * ↑n ≤ ↑(countelements (A + B) n)
this : Nonempty { n // n ≠ 0 }
x : { n // 0 < n }
⊢ ↑↑x ≠ 0
no goals