You have a right to be represented by your union fairly, in good faith, and without discrimination.
Your union has the duty to represent all employees - whether members of the union or not-fairly, in good faith, and without discrimination. This duty applies to virtually every action that a union may take in dealing with an employer as your representative, including collective bargaining, handling grievances, and operating exclusive hiring halls. For example, a union which represents you cannot refuse to process a grievance because you have criticized union officials or because you are not a member of the union. But the duty does not ordinarily apply to rights a worker can enforce independently - such as filing a workers' compensation claim - or to internal union affairs - such as the union's right to discipline members for violating its own rules.