Definition: Noncongruentness, in mathematics and logic, refers to a situation where two or more sets have different elements. For example, if we consider two sets A = {1, 2, 3} and B = {a, b, c}, then set A is noncongruent to set B because the element 'b' of set B does not belong to set A. Noncongruentness can be defined in terms of a relation between elements. For example,
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