Possibly. You should demand a copy of the written warning. Does your employee handbook or policies address discipline procedures? If so the employer must follow them. Even without a written policy, the employer must act fairly in investigating complaints. Whether you have protected rights in this situation turns on whether there is a policy in place, or, alternatively, if the motive behind the employer's behavior is unlawful (based upon race, gender, ethnicity, sexuality, age, etc.)
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It is certainly the best practice for a company to conduct investigations fairly. But it is not illegal to be one sided and not want to listen to anything you may have to say. Management has wide discretion in how it wants to run the company.
If you have a union, contact your representative immediately.
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