Reduction modulo sim and universality

Abstract. The purpose of this note is to make higher mathematics more accessible to learners who are not necessarily majors in mathematics. Mathematics is in one aspect a method of classification, which is done by equivalence relation and in another, uniqueness, which is also accomplished by the same. Starting from congruence between two triangles and coming into the underlying principle of reduction modulo an equivalence relation, advanced high school students could master this essential aspect of mathematics. Uniqueness or neutral element is that which works as neutral in the new world of a quotient space, which is also interpreted as annihilating those entities which are hard to treat, an example being reduction modulo measure zero set.