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Transitivity is shown by demonstrating that if the first number has the same remainder modulo 3 as the second, and the second has the same remainder as the third, then the first has the same remainder as the third.

Conditions: The relation is equality of remainders modulo 3.; The property requires that if x is related to y and y is related to z, then x is related to z.

Transitivity is shown by demonstrating that if the first number has the same remainder modulo 3 as the second, and the second has the same remainder as the third, then the first has the same remainder as the third.

Conditions: The relation is equality of remainders modulo 3.; The property requires that if x is related to y and y is related to z, then x is related to z.