  The Froissart bound on the total cross section is subjected to test against
very high energy data. We have found no clear evidence for its violation. The
scaling property of differential cross section in the diffraction region is
investigated. It exhibits scaling in the ISR, SPS, Tevatron and LHC energy
domain which had hitherto remained unexplored. The slope of the diffraction
peak is fitted and the data are tested against the rigorous bounds.
