Exercise logic.propositional.dnf
Description
Proposition to DNF
Derivation
Final term is not finishedT /\ ((~~T /\ T /\ q /\ ~~(p /\ ~q)) || (~r /\ ~~(p /\ ~q))) /\ ~~~~~(~(~q /\ p) /\ T)
⇒ logic.propositional.notnotT /\ ((~~T /\ T /\ q /\ ~~(p /\ ~q)) || (~r /\ ~~(p /\ ~q))) /\ ~~~(~(~q /\ p) /\ T)
⇒ logic.propositional.notnotT /\ ((~~T /\ T /\ q /\ ~~(p /\ ~q)) || (~r /\ ~~(p /\ ~q))) /\ ~(~(~q /\ p) /\ T)
⇒ logic.propositional.truezeroandT /\ ((~~T /\ T /\ q /\ ~~(p /\ ~q)) || (~r /\ ~~(p /\ ~q))) /\ ~~(~q /\ p)
⇒ logic.propositional.demorganandT /\ ((~~T /\ T /\ q /\ ~~(p /\ ~q)) || (~r /\ ~~(p /\ ~q))) /\ ~(~~q || ~p)
⇒ logic.propositional.notnotT /\ ((~~T /\ T /\ q /\ ~~(p /\ ~q)) || (~r /\ ~~(p /\ ~q))) /\ ~(q || ~p)