To rule it out, recall that we had at some chance of, but no chance of the conditional being false; so at there was a chance of holding along with the conditional; so at there was a chance that, later, there would be a chance of A following the history H; but chanciness does not increase with time (assuming, as always, the normal asymmetries); an earlier chance of a later chance of something implies an earlier chance of it; so already at there was some chance of and A holding together.