Axiom schema of replacement

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What Wikipedia says

In set theory, the axiom schema of replacement is a schema of axioms in Zermelo–Fraenkel set theory (ZF) that asserts that the image of any set under any definable mapping is also a set. It is necessary for the construction of certain infinite sets in ZF.

Excerpt from the Wikipedia article “Axiom schema of replacement”, under the CC BY-SA 4.0 license. Read the article on Wikipedia