Wyo. Stat. § 17-12-102
Any ditch company formed under the provisions of this article shall have the right-of-way over the lines named in the certificate, and shall also have the right to run the water of the stream or streams named in the certificate through their ditch or ditches; provided, that the lines proposed shall not interfere with any other ditch whose rights are prior to those acquired under this article and by virtue of said certificate. Nor shall the water of any stream be directed from its original channel to the detriment of any miners, mill men or others along the line of said stream, or who may have a priority of right, and there shall be at all times left sufficient water in said stream for the use of miners and agriculturists who may have a prior right to such water along said stream.
W.S. 17-12-102