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| Subject | English | Russian |
| law | established matter | доказанный факт |
| law | established matter | установленный факт |
| gen. | established matter | достоверный факт |
| law | the court has established the following facts of the matter | суд установил следующее: (of the case. "Establish facts" is a set expression, it means that the facts have been proved. To find out and to establish facts are not the same acts. Moonranger) |