De Morgan's Laws

De Morgan’s Laws are: $\neg (P\wedge Q)\equiv \neg P\vee \neg Q$ and: $\neg (P\vee Q)\equiv \neg P\wedge \neg Q$

To convert the left (bracket-full) preposition to the right (bracket-less) preposition simply:

1. Get rid of the brackets: $\neg P\wedge Q$
2. Flip the middle section from an AND to an OR (or vice versa): $\neg P\vee Q$
3. Add a negation onto the end: $\neg P\vee \neg Q$