The laws of nature are all just Scientific theory.
Science proves the existence of laws, theories, principles, et al or it disproves the existence of laws, theories, principles, et al. Science is never conclusive because laws, theories, principles, et al are always subject to revision if new data comes along - up to and including refuting the laws, theories, principles, et al.
Some people have said that science can't disprove the existence of something. I say to those people, if science can't really disprove the existence of something, then science can't really prove the existence of something either.
So, we are left with having to accept that practically speaking, science does prove and disprove the existence of laws, theories, principles, et al
or
That everything is taken on faith as nothing can really be proven.
So for the purposes of this discussion, we will assume the former; that practically speaking science does prove and disprove the existence of laws, theories, principles, et al.