Wyo. Stat. § 22-2-116: Restrictions on holding more than 1 elected public office.

No person may hold an elective public office in any governmental entity which either provides any funding for or receives any funding from another governmental entity in which that person holds elected public office. If a person also is elected to a public office while holding another public office such that this section is applicable, the person shall resign from the public office first held prior to assuming the new office.