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Definition 108

[06Y] (Solved on 2022-10-27) Let P(x) be a logical proposition that depends on a free variable \(x∈ X\). We will say that

P(x) holds eventually for \(x∈ X\) if

\(∃ y∈ X, ∀ x∈ X,x≥ y⇒\) P(x) holds;

P(x) frequently applies for \(x∈ X\) if

\(∀ y ∈ X, ∃ x∈ X, x≥ y\) such that P(x) holds.

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