Exercise logic.propositional.dnf
Description
Proposition to DNF
Derivation
((F || q || ~~p || (F /\ r)) /\ (r || q || ~~p || (F /\ r))) || q || (~~p /\ ~~p)
⇒ logic.propositional.falsezeroand((F || q || ~~p || (F /\ r)) /\ (r || q || ~~p || F)) || q || (~~p /\ ~~p)
⇒ logic.propositional.falsezeroor((q || ~~p || (F /\ r)) /\ (r || q || ~~p || F)) || q || (~~p /\ ~~p)
⇒ logic.propositional.falsezeroand((q || ~~p || F) /\ (r || q || ~~p || F)) || q || (~~p /\ ~~p)
⇒ logic.propositional.absorpandq || ~~p || F || q || (~~p /\ ~~p)
⇒ logic.propositional.falsezeroorq || ~~p || q || (~~p /\ ~~p)
⇒ logic.propositional.idempandq || ~~p || q || ~~p
⇒ logic.propositional.idemporq || ~~p
⇒ logic.propositional.notnotq || p