Math Problem Statement
theory : let R be an equivalence relation a∈[a]
Solution
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Math Problem Analysis
Mathematical Concepts
Set Theory
Abstract Algebra
Equivalence Relations
Equivalence Classes
Formulas
[a] = { x ∈ A | x R a }
Theorems
Reflexivity: x R x
Symmetry: If x R y, then y R x
Transitivity: If x R y and y R z, then x R z
Suitable Grade Level
Grades 10-12
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