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erdos_346.gt_goldenRatio_not_IsAddComplete

Specification

Erdős and Graham [ErGr80] remark that it is easy to see that if `A (n + 1) / A n > (1 + √5) / 2` then the second property is automatically satisfied.

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Lean 4 Statement
theorem erdos_346.gt_goldenRatio_not_IsAddComplete {A : ℕ → ℕ}
    (hA : ∀ n, (1 + √5) / 2 * A n < A (n + 1)) {B : Set ℕ} (h : B ⊆ range A) (hB : B.Infinite) :
    ¬ IsAddComplete (range A \ B)
ID: ErdosProblems__346__erdos_346.gt_goldenRatio_not_IsAddComplete
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