Congruence Modulo Integer/Examples/531 not equiv 1236 mod 7561

Example of Non-Congruence Modulo an Integer

 * $531 \not \equiv 1236 \pmod {7561}$

Proof
$531 \equiv 1236 \pmod {7561}$.

We have that:

From Congruent Integers less than Half Modulus are Equal, it follows that $531 = 1236$.

The result follows by Proof by Contradiction.