Equivalence Relations on Natural Numbers

Let R1={(a,b)∈N×N:|a−b|≤13} and R2={(a,b)∈N×N:|a−b|≠13}. Then on N:

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Let R1={(a,b)∈N×N:|a−b|≤13} and R2={(a,b)∈N×N:|a−b|≠13}. Then on N:

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