Q.E.D.
PROP.V.Things are naturally contrary, that is, cannot exist in the same object, in so far as one is capable of destroying the other.
Proof .-- If they could agree together or co--exist in the same object, there would then be in the said object something which could destroy it; but this, by the foregoing proposition, is absurd, therefore things, &c.

Q.E.D.
PROP.VI.

Everything, in so far as it is in itself, endeavours to persist in its own being.
Proof .-- Individual things are modes whereby the attributes of God are expressed in a given determinate manner (I.xxv.

Coroll.); that is, (I.xxxiv.), they are things which express in a given determinate manner the power of God, whereby God is and acts; now no thing contains in itself anything whereby it can be destroyed, or which can take away its existence (III.

iv.); but contrariwise it is opposed to all that could take away its existence (III.