Adam Clarke on 1 Corinthians 15:26

The last enemy - Death, shall be destroyed; καταργειται, shall be counter-worked, subverted, and finally overturned. But death cannot be destroyed by there being simply no farther death; death can only be destroyed and annihilated by a general resurrection; if there be no general resurrection, it is most evident that death will still retain his empire. Therefore, the fact that death shall be destroyed assures the fact that there shall be a general resurrection; and this is a proof, also, that after the resurrection there shall be no more death.