Equivalence classes partition the set (Class of a = all elements related to a; classes partition A when R is)

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Class of a = all elements related to a; classes partition A when R is equivalence

What each symbol means

SymbolWhat it stands for
REquivalence relation on A
[a]Equivalence class of a

When to use this

R equivalence (RST) on A; classes are disjoint and cover A.