Extensionality refers to the properties of sets or objects that are equivalent if they have the same elements. There are several synonyms for extensionality, including extensional equivalence, set identity, and element identity. These terms all describe the idea that two sets are identical if they have the same elements. Extensionality is an important concept in set theory and is often used to define and compare different mathematical objects. It is also used in programming languages and computer science to describe the properties of data structures and algorithms. Overall, extensionality plays a crucial role in many areas of mathematics and computer science.