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First, let's define an equivalence relation. An equivalence relation R is a collection of elements with a binary relation that satisfies this property:

  • Reflexivity: ∀a ∈ R, a ~ a
  • Symmetry: ∀a, b ∈ R, if a ~ b, then b ~ a
  • Transitivity: ∀a, b, c ∈ R, if a ~ b and b ~ c, then a ~ c.
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Q: What is meant by symmetric reflexive and transitive property and also equivalence relation?
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