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