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