Does a law enacted by a political subdivision of a state constitute 'State ... law' under section 14(b) of the National Labor Relations Act?

QUESTION PRESENTED Section 14(b) of the National Labor Relations Act states that nothing in the Act “shall be construed as authorizing the execution or application of agreements requiring membership in a labor organization as a condition of employment in any State or Territory in which such execution or application is prohibited by State or Territorial law.” 29 U.S.C. § 164(b). Does a law enacted by a political subdivision of a state constitute “State ... law” under section 14(b)? ii PARTIES TO PROCEEDINGS BELOW The and cross-appellants below were petitioner Village of Lincolnshire, petitioner Elizabeth Brandt in her official capacity as Mayor of Lincolnshire, petitioner Barbara Mastandrea in her official capacity as Village Clerk of Lincolnshire, and Peter Kinsey in his official capacity as Chief of Police of Lincolnshire. Mr. Kinsey has since been succeeded as Chief of Police by petitioner Joseph Leonis. The and crossappellees below were respondents International Union of Operating Engineers, Local 399, AFL-CIO; International Union of Operating Engineers, Local 150, AFL-CIO, Construction and General Laborers’ District Council of Chicago and Vicinity, Laborers International Union of North America, AFL-CIO; and Chicago Regional Council of Carpenters, United Brotherhood of Carpenters and Joiners of America.