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  "body": "\n## Statement\n\nThe group axioms imply that the identity element is unique; that is, there exists only one identity element: any two identity elements $e$ and $f$ of a group are equal, because the group axioms imply $e=e\\cdot f=f$. It is thus customary to speak of *the* identity element of the group.\n",
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        "locator": "Group (mathematics), section Elementary consequences of the group axioms \u003e Uniqueness of identity element",
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