Wyo. Stat. Ann. § 7-5-206

If a witness appearing before a grand jury refuses, without just cause shown, to testify or provide other information, the district attorney may take the witness before the court for an order directing the witness to show cause why the witness should not be held in contempt. If after hearing the court finds that the refusal was without just cause, and if the witness continues to refuse to testify or produce evidence, the court may hold the witness in contempt subject to the punishment provided by W.S. 1-12-108(a)(ii).