There are two deaths.
Rev 2: 11 " Whoever has ears , let them hear what the Spirit says to the churches . The one who is victorious will not be hurt at all by the second death. "
Rev 20 : 6 Blessed are they who share in the in the first resurrection. The second death has no power over them , but they will be priests of God and Christ and will reign with him for a thousand years "
Rev 20 ;14 " Then death and Hades were thrown into the lake of fire . The lake of fire is the second death. Anyone whose name was not found in the book of life was thrown into the lake of fire "
So Adam and Eve subjected themselves to the second death.
Jan from Tam