brief
noun
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: a concise statement of a client's case written for the instruction of an attorney usually by a law clerk — called also memorandum
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: a formal written presentation of an argument that sets forth the main points with supporting precedents and evidence
Note: Briefs are filed either by a party or an amicus curiae with a court usually regarding a specific motion (as for summary judgment) or point of law.
brief
transitive verb
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: to write a brief concerning (a motion or question of law)