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Understand why↗ Ordinary equality on numbers is an equivalence relation because it satisfies the three required properties: reflexivity, symmetry, and transitivity.
Conditions: Equality is viewed as a relation on numbers.; The relation must be checked against the three properties of an equivalence relation.
Ordinary equality on numbers is an equivalence relation because it satisfies the three required properties: reflexivity, symmetry, and transitivity.
Conditions: Equality is viewed as a relation on numbers.; The relation must be checked against the three properties of an equivalence relation.
Meet the concept↗ An equivalence relation on a set is a relation that is reflexive, symmetric, and transitive.
Conditions: The relation must be defined on a set.; The relation must satisfy all three properties: reflexivity, symmetry, and transitivity.
An equivalence relation on a set is a relation that is reflexive, symmetric, and transitive.
Conditions: The relation must be defined on a set.; The relation must satisfy all three properties: reflexivity, symmetry, and transitivity.