meaning

Hi
Please help me with some questions on sonnet 55 of Shakespeare.
My question: What is the relevance of oblivious with enmity here?

Not marble nor the gilded monuments

Of princes shall outlive this pow'rful rhyme,

But you shall shine more bright in these conténts

Than unswept stone, besmeared with sluttish time.

When wasteful war shall statues overturn,

And broils root out the work of masonry,

Nor Mars his sword, nor war’s quick fire, shall burn

The living record of your memory.

'Gainst death and all oblivious enmity

Shall you pace forth; your praise shall still find room

Even in the eyes of all posterity

That wear this world out to the ending doom.

So till the judgment that yourself arise,

You live in this, and dwell in lovers' eyes.