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Prove: Proposition 11.13. Congruence modulo n is an equivalence relation on Z : (1) For every...

Prove: Proposition 11.13. Congruence modulo n is an equivalence relation on Z :

(1) For every a ∈ Z, a = a mod n.

(2) If a = b mod n then b = a mod n.

(3) If a = b mod n and b = c mod n, then a = c mod n

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