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That's a tough situation. Good question.
Your union has the sole right and obligation to represent you. If your union wants to appeal the decision that's relatively easy, although the union might well not want to. Then this would go to court for review.
If your union doesn't want to take this further and you think that it should then your option is to hire a labour lawyer and sue the union. That's how it works.
If you're ok with the arbitrator's decision and want to keep your job then it's likely best to let this sleeping dog lie. But it's up to you. Think about what you want to accomplish at the end of the day.
Does that make sense? I'll await your question or comment. If I've answered you then I'd appreciate a positive service rating please.
Have you given your situation with your union some thought? Would you like to discuss it further?
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