Exercise logic.propositional.dnf

Description
Proposition to DNF

Derivation

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

⇒ logic.propositional.notnot

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

⇒ logic.propositional.falsezeroand

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

⇒ logic.propositional.falsezeroor

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

⇒ logic.propositional.absorpand

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

⇒ logic.propositional.notnot

(q /\ T) || ~~p

⇒ logic.propositional.notnot

(q /\ T) || p

⇒ logic.propositional.truezeroand

q || p