👉 In mathematics, "canonicalizing" refers to a process of defining or reformulating a mathematical concept so that it is consistent with existing definitions. This can be done by replacing or modifying certain aspects of an existing definition where possible while preserving its essential meaning and properties. For example, if we have a set $X$ and we want to define the operation $\cdot: X \times X \to X$, we might define $\cdot$ as follows: $$\cdot(x, y) = x
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