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If player $a$ has put player $b$'s king in check, but player $b$ has no legal move that will get him or her out of check, then player $a$ has won.
This situation is known as checkmate.
Player $a$ is said to have checkmated player $b$.
Also known as
The abbreviated mate is often heard, particularly in the triumphant announcement by the winning player, as he spanks down his piece:
- "Check and mate."
- 1993: Richard J. Trudeau: Introduction to Graph Theory ... (previous) ... (next): $1$. Pure Mathematics: Games