। ॥ ५७९ ॥
In plain words
And so, for exactly these reasons: everything from your son at one end to the sheer void at the other has been shown — item by item, and shown soundly — to be anātman, not the Self. Scripture establishes it, reasoning establishes it, and your own direct experience establishes it.
Close to the Sanskrit
Since — therefore, indeed — the non-selfhood of that which begins with the son and ends with the void has been well established, particularly, by scripture, reasoning, and direct experience.