Addressing a special session of the Mizoram Assembly, Kovind said a legislator equally represents those who did not vote for him or opposed him.
The president said a rival in an election was a political competitor and not an enemy, and ideally, the functioning of the legislature should be marked by dignity and decorum.
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The political system should not allow differences to become disputes, he said.
"After the election, the competitor could become a colleague in the task of ensuring the well-being and development of a constituency, of the state and of the country," he said.
Appealing to legislators to uphold the beauty of a democratic polity, Kovind said, "I am glad to see that this philosophy has such an instinctive acceptance in Mizoram.