what is closure property
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A set that is closed under an operation or collection of operations is said to satisfy a closure property. Often a closure property is introduced as an axiom, which is then usually called the axiom of closure. ... For example, the set of even integers is closed under addition, but the set of odd integers is not.
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The closure property means that a set is closed for some mathematical operation.
For example, the set of even natural numbers, [2, 4, 6, 8, . . .], is closed with respect to addition because the sum of any two of them is another even natural number, which is also a member of the set.
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