Noun
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a statement that is assumed to be true and from which a conclusion can be drawn
"on the assumption that he has been injured we can infer that he will not to play"
Verb
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take something as preexisting and given
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furnish with a preface or introduction
"She always precedes her lectures with a joke"
"He prefaced his lecture with a critical remark about the institution"
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set forth beforehand, often as an explanation
"He premised these remarks so that his readers might understand"