Don't say prove. That word shouldn't be used outside of math.
In 1975, Grubbs conceded to earlier reports that it proceeded via a non-pairwise mechanism. Previously, he had suggested a pairwise mechanism with a five-membered metallocycle, see J. Am. Chem. Soc., 1972, 94, pp 2538–2540. The main significance of the '75 piece was that he used a new metathesis catalyst and used isotopically labeled protons instead of the various substituted olefins used by Chauvin and Katz. In fact, Katz's paper in 1975 was the first to provide unambiguous evidence for this mechanism. The Americans were pretty bad about noticing the good work by French chemists in the early 70s.
There is a good article on this in C&EN entitled, "Olefin Metathesis: The Early Days."