A group has exactly one identity element ↩

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created: 2021-11-05 22:51:18
modified: 2022-11-12 02:13:26

Statement: a group has exactly one identity element.

Proof

Suppose that and are both identity elements of group . In this case since is an identity element and since is an identity element. From this , so there really is only one identity element.

See also