If you say that something will happen provided or provided that something else happens, you mean that the first thing will happen only if the second thing also happens. 如果…才会…
conjunction [并列连词]假如,只要,在……条件下
The other banks are going to be very eager to help, provided that they see that he has a specific plan. 如果他有一个具体的计划,其他的银行才会非常渴望提供资助。