**logic - Definition of equality - Mathematics Stack Exchange**
https://math.stackexchange.com/questions/4200065/definition-of-equality

Jul 16, 2021 · Equality is a relation linking two objects x, y of the same type T (e.g. two integers or two matrices, or two vectors, etc.). Given two such objects x and y, the statement x = y may be true or may not be true; it depends on the value of x and y and also on how equality is defined for the class of objects under consideration. [...]

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