What Does Jesus Die for Us in on Our Behalf?

A number of different people have emailed in essentially the same question. But what do we mean when we say a phrase that comes so easily to the tongue? Jesus died for us in on our behalf? Yes. What I mean, is what are we actually saying in saying a phrase like that? When Paul says that he adds the phrase according to the scriptures. Now, that doesn't mean I can find three proof texts, E.G.I.S.F. 53. It means there is an entire scriptural narrative which is about how the Creator God is rescuing the world.