Were there any “legal formalities” when Adam and Eve began to live together?

Gen. 2:22-24: “Jehovah God proceeded to build the rib that he had taken from the man [Adam] into a woman and to bring her to the man. Then the man said: ‘This is at last bone of my bones and flesh of my flesh. This one will be called Woman, because from man this one was taken.’ That is why a man will leave his father and his mother and he must stick to his wife and they must become one flesh.” (Notice that it was Jehovah God himself, the Universal Sovereign, who brought Adam and Eve together. This was not a matter of a man and a woman deciding to live together without concerning themselves about legal authority. Observe, too, the emphasis that God placed on the permanence of the union.)

Gen. 1:28: “God blessed them [Adam and Eve] and God said to them: ‘Be fruitful and become many and fill the earth and subdue it, and have in subjection the fish of the sea and the flying creatures of the heavens and every living creature that is moving upon the earth.’” (Here the blessing of the highest legal Authority was pronounced upon the union, they were authorized to have sex relations and were given an assignment that would fill their lives with meaning.)