Eve's name is given in the biblical account at a point right between God's verdict for man's sin and man's banishment from the Garden and the tree of life. This is interesting in light of the fact that it is the woman whom the serpent approached and tempted, it is the woman who first ate the fruit from the forbidden tree (Genesis 3:6), and it is the woman who was named as the "mother of the living." God's promise of redemption is given to the couple in verse 15; it is through the woman's "seed" that this redemption will come, thus making her name "mother of the living" especially noteworthy. Man has been banished from the Garden and lost access to the tree of life, but the woman, who played a major part in this eviction, will be the very vehicle for access back to life and fellowship with God through the future birth of the Redeemer. A tree of life is denied, but promise of future redemption will come through the mother of "all the living."
Commentators see the tree of life as access to eternal life, and some believe that forbidding Adam and Eve from eating from the tree of life after the fall was an act of mercy, because otherwise, they would have been had an endless physical life in a fallen world; also, this represents losing perfection through sin and having to experience death (Trent C. Butler, ed. Holman Bible Dictionary [Nashville: Holman Bible Publishers, 1991], 1367; Ryken, 889). Scripture compares a tree of life to wisdom in Proverbs 3:18, to the fruit of the righteous in Proverbs 11:30, to hope fulfilled in Proverbs 13:12, and to a soothing tongue in Proverbs 15:4, all showing that life comes from God and through a right relationship with him. Additionally, one scholar states that some believe that the golden lampstand in the Tabernacle in Exodus 25:34 represented the tree of life (Ryken, 890).