The principle of extensionality states that two things are equal precisely when all their components are equal.

Name: The principle of extensionality states that two things are equal precisely when all their components are equal.
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The principle of extensionality is a fundamental principle of set theory that states that two sets are equal precisely when they have the same elements. In other words, if two sets have exactly the same elements, then they are the same set.

The Principle of Extensionality States That Two Things Are Equal