# the set of all equivalence classes of a set with cardiity c

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Set of all equivalence classes of any equivalence relation forms a partitions.

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Which of these relations on the set of all functions from Z to Z are equivalence relations? (a) $\{(f,g) \mid f(1)=g(1)\}$ (b) $\{(f,g) \mid f(0)=g(0) \text{ or } f(1)=g(1)\}$ ... conditions (Symmetric, Transitive and Reflexive) of equivalence relation. Actually I cannot able to analyze when the relations defined on set of function. If anyone describe a bit it would helpful.