Wyo. Stat. § 38-3-101
Whenever any bond, undertaking, recognizance or other obligation is by law, or the charter, ordinances, rules or regulations of any municipality, board, body, organization, court or public officer, required or permitted to be made, given, tendered or filed, with surety or sureties, and whenever the performance of any act, duty or obligation, or the refraining from any act, is required or permitted to be guaranteed, such bond, undertaking, obligation, recognizance or guarantee may be executed by a surety company qualified to act as surety or guarantor as hereinafter provided, and such execution by such company of such bond, undertaking, obligation, recognizance or guarantee shall be in all respects a full and complete compliance with every requirement of law, charter, ordinance, rule or regulation, that such bond, undertaking, obligation, recognizance or guarantee shall be executed by one (1) surety or by one (1) or more sureties or that such sureties shall be residents or householders, or freeholders or either, or both, or possess any other qualification; and all courts, judges, heads of departments, boards, bodies, municipalities and public officers of every character, shall accept and treat accordingly such bond, undertaking, obligation, recognizance or guarantee when so executed by such company, as conforming to and fully and completely complying with every such requirement of every such law, charter, ordinance, rule or regulation.
W.S. 38-3-101