Exercise logic.propositional.dnf

Description
Proposition to DNF

Derivation

(F /\ r) || ((q || ~(~p /\ ~p)) /\ (q || ~~p)) || F

⇒ logic.propositional.falsezeroand

F || ((q || ~(~p /\ ~p)) /\ (q || ~~p)) || F

⇒ logic.propositional.falsezeroor

((q || ~(~p /\ ~p)) /\ (q || ~~p)) || F

⇒ logic.propositional.falsezeroor

(q || ~(~p /\ ~p)) /\ (q || ~~p)

⇒ logic.propositional.idempand

(q || ~~p) /\ (q || ~~p)

⇒ logic.propositional.idempand

q || ~~p

⇒ logic.propositional.notnot

q || p