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