Expresses the condition or requirement for something to be established; 'on the assumption that', 'under the condition of'.
Long explanation:
The Noun + 前提で grammar point is used to define the premise, assumption or requirement necessary for some event or action. It can be translated as 'on the assumption that', 'under the condition of', or 'with the understanding that' in English. This grammar suggests that the following clause is established based on the premise stated before 前提で.