abdicate

Definitions

(Verb) formally remove oneself from; give up; relinquish; surrender

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(Verb) 1. to give up or renounce authority, duties or high office, especially in a voluntary or formal way
2. to relinquish power, claim or responsibility in a formal manner

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(Verb) to give up formally.

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In gay parlance, to vacate a public restroom to avoid a possible interrogation or confrontation with an attendant or a vice squad officer.