let ′ ∣ ′ be the divides relation on a set of positive integers. That
is ∀𝑎, 𝑏 ∈ 𝐴, 𝑎 ∣ 𝑏 ⇔ 𝑏 = 𝑘. 𝑎 for some integer 𝑘. Prove that ∣ is a partial order
Relation.
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