Exercise logic.propositional.dnf
Description
Proposition to DNF
Derivation
Final term is not finished
(~~(~~(T /\ q) /\ ~~~~(T /\ q)) || ~r) /\ ~(~~(~(q /\ ~q) /\ ~(p /\ ~q)) /\ ~~(~(q /\ ~q) /\ ~(p /\ ~q)))
⇒ logic.propositional.idempand(~~(~~(T /\ q) /\ ~~~~(T /\ q)) || ~r) /\ ~~~(~(q /\ ~q) /\ ~(p /\ ~q))
⇒ logic.propositional.notnot(~~(~~(T /\ q) /\ ~~~~(T /\ q)) || ~r) /\ ~(~(q /\ ~q) /\ ~(p /\ ~q))
⇒ logic.propositional.compland(~~(~~(T /\ q) /\ ~~~~(T /\ q)) || ~r) /\ ~(~F /\ ~(p /\ ~q))
⇒ logic.propositional.notfalse(~~(~~(T /\ q) /\ ~~~~(T /\ q)) || ~r) /\ ~(T /\ ~(p /\ ~q))
⇒ logic.propositional.truezeroand(~~(~~(T /\ q) /\ ~~~~(T /\ q)) || ~r) /\ ~~(p /\ ~q)
⇒ logic.propositional.demorganand(~~(~~(T /\ q) /\ ~~~~(T /\ q)) || ~r) /\ ~(~p || ~~q)
⇒ logic.propositional.notnot(~~(~~(T /\ q) /\ ~~~~(T /\ q)) || ~r) /\ ~(~p || q)