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Definition

assume verb (ACCEPT)

/əˈsjuːm/US pronunciation symbol/-ˈsuːm/ v [T]
to accept something to be true without question or proof
[+ (that)] I assumed (that) you knew each other because you went to the same school.
Let's assume (that) they're coming and make plans on that basis.
[+ to infinitive] We can't assume the suspects to be guilty simply because they've decided to remain silent.
We mustn't assume the suspects' guilt.

(Definition of assume verb (ACCEPT) from the Cambridge Advanced Learner's Dictionary)

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