This expression occurs in the Old Testament only in Dan. 12:2 (R.V., "everlasting life"). It occurs frequently in the New Testament (Matt. 7:14; 18:8, 9; Luke 10:28; comp. 18:18). It comprises the whole future of the redeemed (Luke 16:9), and is opposed to "eternal punishment" (Matt. 19:29; 25:46). It is the final reward and glory into which the children of God enter (1 Tim. 6:12, 19; Rom. 6:22; Gal. 6:8; 1 Tim. 1:16; Rom. 5:21); their Sabbath of rest (Heb. 4:9; comp. 12:22). The newness of life which the believer derives from Christ (Rom. 6:4) is the very essence of salvation, and hence the life of glory or the eternal life must also be theirs (Rom. 6:8; 2 Tim. 2:11, 12; Rom. 5:17, 21; 8:30; Eph. 2:5, 6). It is the "gift of God in Jesus Christ our Lord" (Rom. 6:23). The life the faithful have here on earth (John 3:36; 5:24; 6:47, 53-58) is inseparably connected with the eternal life beyond, the endless life of the future, the happy future of the saints in heaven (Matt. 19:16, 29; 25:46).
He stated—quite rightly—that animals are never mentioned in connection with eternal life in the Bible.
Not only was she invulnerable to bullets and clubs; she had apparently drunk the elixir of eternal life.
So our fondest hope is not for eternal life, but an end to this wheel of existence through eternal death.