A circular definition for sublimate properties: a property that cannot be explained in terms of non-sublimate properties
If we assume the Reality exists *explicably*, then its existence must be sublimate since we cannot otherwise explain its existence without a composition of non-sublimate axioms (which themselves are inexplicably fundamental), or infinite regress (which, incidentally, potentially involves sublimate processes)
Theoretically, explanations like the Omega Model implies an infinite regress of further higher-order sublimate property categories. Note: the Omega Model (OM) is the model that there is no false thing; that literally everything is true, and exists. This presents some strangenesses like physicalism and dualism both being true simultaneously, and contradictory and paradoxical things also being unequivocally true; but otherwise the OM not-so-neatly sidesteps the problem of universal specificness (the problem that the Universe in particular and the Reality in general is limited to a specific form, rather than being completely unlimited; note: it may not be, even without the OM, and this implies sublimate properties as well)
At a looser-level, conceptually, sublimate things are fundamentally (even: beyond fundamentally, sublimately) distinct from non-sublimate things in that there are no non-sublimate things that can combine to make a sublimate thing. They're sort of like stepping into a different dimension of information and ontology. No matter what you do, you cannot escape your N dimensions, but there may be some other things that exist outside your dimension, and they may make your dimension possible (eg: a ball making your sphere surface possible). Though, all analogies necessarily fail absolutely and completely to explain sublimate things, for obvious reasons
A further note: the whole sublimate / not sublimate distinction sure harkens to the divine / not divine distinction
Anyway, I like me some pizza!