Exercise logic.propositional.dnf
Description
Proposition to DNF
Derivation
Final term is not finished(~p <-> (p /\ q)) || (~p <-> (p /\ q)) || (((~p <-> (p /\ q)) || (~p <-> (p /\ q))) /\ T)
⇒ logic.propositional.truezeroand(~p <-> (p /\ q)) || (~p <-> (p /\ q)) || (~p <-> (p /\ q)) || (~p <-> (p /\ q))
⇒ logic.propositional.defequiv(~p <-> (p /\ q)) || (~p <-> (p /\ q)) || (~p /\ p /\ q) || (~~p /\ ~(p /\ q)) || (~p <-> (p /\ q))
⇒ logic.propositional.compland(~p <-> (p /\ q)) || (~p <-> (p /\ q)) || (F /\ q) || (~~p /\ ~(p /\ q)) || (~p <-> (p /\ q))
⇒ logic.propositional.defequiv(~p <-> (p /\ q)) || (~p <-> (p /\ q)) || (F /\ q) || (~~p /\ ~(p /\ q)) || (~p /\ p /\ q) || (~~p /\ ~(p /\ q))
⇒ logic.propositional.compland(~p <-> (p /\ q)) || (~p <-> (p /\ q)) || (F /\ q) || (~~p /\ ~(p /\ q)) || (F /\ q) || (~~p /\ ~(p /\ q))
⇒ logic.propositional.falsezeroand(~p <-> (p /\ q)) || (~p <-> (p /\ q)) || F || (~~p /\ ~(p /\ q)) || (F /\ q) || (~~p /\ ~(p /\ q))
⇒ logic.propositional.falsezeroand(~p <-> (p /\ q)) || (~p <-> (p /\ q)) || F || (~~p /\ ~(p /\ q)) || F || (~~p /\ ~(p /\ q))
⇒ logic.propositional.falsezeroor(~p <-> (p /\ q)) || (~p <-> (p /\ q)) || (~~p /\ ~(p /\ q)) || F || (~~p /\ ~(p /\ q))
⇒ logic.propositional.falsezeroor(~p <-> (p /\ q)) || (~p <-> (p /\ q)) || (~~p /\ ~(p /\ q)) || (~~p /\ ~(p /\ q))
⇒ logic.propositional.idempor(~p <-> (p /\ q)) || (~p <-> (p /\ q)) || (~~p /\ ~(p /\ q))
⇒ logic.propositional.notnot(~p <-> (p /\ q)) || (~p <-> (p /\ q)) || (p /\ ~(p /\ q))
⇒ logic.propositional.demorganand(~p <-> (p /\ q)) || (~p <-> (p /\ q)) || (p /\ (~p || ~q))
⇒ logic.propositional.andoveror(~p <-> (p /\ q)) || (~p <-> (p /\ q)) || (p /\ ~p) || (p /\ ~q)
⇒ logic.propositional.compland(~p <-> (p /\ q)) || (~p <-> (p /\ q)) || F || (p /\ ~q)
⇒ logic.propositional.falsezeroor(~p <-> (p /\ q)) || (~p <-> (p /\ q)) || (p /\ ~q)