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As a warm-up, almost trivial, example, we verify the property of being an equivalence relation for the equality of sets.

Proposition: The Equality of Sets Is an Equivalence Relation

Let $U$ be a universal set. The equality of sets "$=$" defines an equivalence relation on every subset of $A\subseteq U.$

Table of Contents

Proofs: 1

Mentioned in:

Examples: 1
Explanations: 2
Proofs: 3 4 5 6 7 8 9 10 11 12 13 14
Propositions: 15 16 17 18 19 20 21 22 23 24
Sections: 25

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References

Bibliography

1. Landau, Edmund: "Grundlagen der Analysis", Heldermann Verlag, 2008