“在.....前提下”如何用英文表达？

Question

on the premise

Answer 1

在.....前提下

In the... On the premise of

例句：

在遵循以下第5.4（c）条规定的前提下，每一方应按照附录三中规定的时间表及条件缴付其认缴的注册资本。

Subject to Article 5.4(c) below, each Party shall make its contribution to the registered capital of the Company in accordance with the schedule set forth in Schedule C.
                   
                                                                        


在辽宁海事局移动CCTV系统的应用实例中，以低廉的花费，实现与现有海事CCTV系统的无缝接入，在保证网络连结安全性的前提下．取得较好的使用效果。

For instance, in Liaoning msa the realization by twopenny cost connected with existing equipments for msa CCTV, ensured the network against danger. The experiment has a better effect.

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Answer 2

1. in the premise
2. as a prerequisite/presupposition
看你用在那里
在保证员工基本权益的前提下，争取利润最大化。
As a prerequisite, to ensure the basic benefits for the staff, and to secure the most (highest) benefits