I wouldn't say it proves evolution on it's own, but it's one of the strongest pieces of evidence. The first chapter in Darwin's Origin of Species was 'Variation under Domestication'.
It seems to me that all the evidence from so may different sources proves evolution. I always feel uncomfortable that it's generally referred to as the theory of evolution. I know science has to be open to change but when does a theory become a fact. After all no one these days refers to the theory of a flat earth. Why do we have to pander to religion? They're not scientists. Would we still be calling it a theory if religion didn't exist?