Symmetry and conservation of momentum

[verdigris]

The law of conservation of momentum has never been observed to be violated.In quantum mechanics conservation laws relate to symmetries.So is the existence of the law of conservation of momentum
due to the fact that a symmetry exists, or does a symmetry exist because the law of conservation of momentum exists?

 

[cesiumfrog]

I think the answer is just yes.

 

[Mentz114]

... or even 'neither'.