Not all info-gap models arise as sublevel sets: for instance, if formula_59 for all formula_60 but not for formula_61 (it has uncertainty "just more" than 1), then the minimum above is not defined; one can replace it by an infimum, but then the resulting sublevel sets will not agree with the infogap model: formula_62 but formula_63 The effect of this distinction is very minor, however, as it modifies sets by less than changing the horizon of uncertainty by any positive number formula_64 however small.