Exercise logic.propositional.dnf
Description
Proposition to DNF
Derivation
F || (~p <-> (p /\ q /\ T)) || (~p <-> (p /\ q /\ T))
⇒ logic.propositional.idemporF || (~p <-> (p /\ q /\ T))
⇒ logic.propositional.truezeroandF || (~p <-> (p /\ q))
⇒ logic.propositional.defequivF || (~p /\ p /\ q) || (~~p /\ ~(p /\ q))
⇒ logic.propositional.complandF || (F /\ q) || (~~p /\ ~(p /\ q))
⇒ logic.propositional.falsezeroandF || F || (~~p /\ ~(p /\ q))
⇒ logic.propositional.falsezeroorF || (~~p /\ ~(p /\ q))
⇒ logic.propositional.notnotF || (p /\ ~(p /\ q))
⇒ logic.propositional.demorganandF || (p /\ (~p || ~q))
⇒ logic.propositional.andoverorF || (p /\ ~p) || (p /\ ~q)
⇒ logic.propositional.complandF || F || (p /\ ~q)
⇒ logic.propositional.falsezeroorF || (p /\ ~q)