A mathematical or logical proof is a specific variety of proof that proves that a conclusion is true if certain assumptions are true. The theorem was first proved in a proof published in Active 6 years, 4 months ago. That's a different nuance of the word than what you have asked about; it is related to waterproofing and writing. English Language Learners Stack Exchange is a question and answer site for speakers of other languages learning English. Yes, but proof as a verb has little in common with prove as a verb. You prove that an accusation is true by showing proof. What are the differences between 'proof' and 'prove'? I don't think OP even tried to check any of them in a dictionary.
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