20 And Adam called his wife’s name Eve, because she was the mother of all living.
21 Also for Adam and his wife the Lord God made tunics of skin, and clothed them.
Adam called his wife’s name Eve (meaning “life”) because she was the “mother of all living.” He thus indicated his faith in God’s promises, not only that they would have children but also that through this means God would send the “seed of the woman” to bring salvation. … In spite of their condemnation unto death, God promised they would indeed live long enough at least to have their children and raise them. They believed God’s word and so were saved. — Morris, page 129.
The robe which God provided was an effectual covering, because He provided it; just as the apron was an ineffectual covering, because man had provided it. Moreover, God’s coat was founded upon blood-shedding; Adam’s apron was not. So also now, God’s righteousness is set forth in the cross; mans’ righteousness is set forth in the works—the sin-stained works—of his own hands. … the sinner may feel perfectly at rest when, by faith, he knows that God has clothed him; but to feel at rest till them, can only be the result of presumption or ignorance. — Mackintosh, pages 54-55.
[God] took away their coverings of fig leaves, and clothed them with coats of skins. Most significant was the action: for by it He testified that their shame was not groundless, that there was need of a covering, but that the best the sinners could make for themselves was of no avail. … They must learn that only by life can life be redeemed; that if the sinner die not, there must be a Substitute; that the Most High is holiness and justice as well as love, and can by no means clear the guilty. — Pember, pages 158-159. (He proposes that it was at this point that God initiated animal sacrifice.)