P13: A substance which is absolutely infinite is indivisible.

Dem.: For if it were divisible, the parts into which it would be divided will either retain the nature of an absolutely infinite substance or they will not. If the first, then there will be a number of substances of the same nature, which (by P5) is absurd. But if the second is asserted, then (as above P12), an absolutely infinite substance will be able to cease to be, which (by P11) is also absurd.

Cor.: From these {propositions} it follows that no substance, and consequently no corporeal substance, insofar as it is a substance, is divisible.

Schol.: That substance is indivisible, is understood more simply merely from this, that the nature of substance cannot be conceived unless as infinite, and that by a part of substance nothing can be understood except a finite substance, which (by P8) implies a plain contradiction.