P11: An affect toward a thing we imagine as necessary is more intense, other things equal, than one toward a thing we imagine as possible or contingent, or not necessary.

Dem.: Insofar as we imagine a thing to be necessary, we affirm its existence. On the other hand, we deny its existence insofar as we imagine it not to be necessary (by IP33 S1), and therefore (by P9), an affect toward a necessary thing is more intense, other things equal, than toward one not necessary, q.e.d.