Exercise logic.propositional.dnf

Description
Proposition to DNF

Derivation

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

⇒ logic.propositional.truezeroand

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

⇒ logic.propositional.compland

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

⇒ logic.propositional.absorpand

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

⇒ logic.propositional.falsezeroor

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

⇒ logic.propositional.falsezeroor

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

⇒ logic.propositional.notnot

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

⇒ logic.propositional.notnot

p /\ ~(p /\ q)

⇒ logic.propositional.demorganand

p /\ (~p || ~q)

⇒ logic.propositional.andoveror

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

⇒ logic.propositional.compland

F || (p /\ ~q)

⇒ logic.propositional.falsezeroor

p /\ ~q