Eh, that's not really Gresham's law, which applies when there is a fixed (by law) exchange rate between two currencies.
Quoting Hayek’s Denationalization of Money, “What Jevons, as so many others, seems to have overlooked, or regarded as irrelevant, is that Gresham's law will apply only to different kinds of money between which a fixed rate of exchange is enforced by law.” (Emphasis his)