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Unfortunately false statements made during legal proceedings do not constitute defamation though they can expose the person to the criminal charge of perjury. More effectively, a motion for sanctions can be brought in the underlying case and if the judge finds that the person's statements caused additional legal fees they can order that party to pay the other partys's legal fees, in addition to imposing a fine.
Sanctions can oy be ordered against a current party. The sanction issue would typically be addressed in the response once one became aware of the allegations. One could attempt to get a perjury charge but that is not very common as typically sanctions when it occurs is the common response.
Information would be presented to the local prosecutor and they would determine if there was sufficient justification to bring it; most prosecutors don't pursue these, unfortunately, due to a lack of resources.
Criminal codes re: perjury:
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