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1. Congruence Relation

   Linked via "algebraic manipulations"

   Proof sketch: If $a - b = nk1$ and $b - c = nk2$, then adding the two equations yields $a - c = nk1 + nk2 = n(k1 + k2)$. Since $k1 + k2$ is an integer, $n$ divides $a-c$.
   These properties are essential for using congruence in algebraic manipulations, such as addition and multiplication of residue classes.
   Residue Classes and the Quotient Set