# Group has Latin Square Property/Corollary/Proof 1

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## Corollary to Group has Latin Square Property

The Cayley table for any finite group is a Latin square.

## Proof

Follows directly from the definition of both a Cayley table and a Latin square.

## Sources

- 1996: John F. Humphreys:
*A Course in Group Theory*... (previous) ... (next): Chapter $3$: Elementary consequences of the definitions: Proposition $3.3$: Remark $2$