Complex sentence: At this time, the Salic Law was further re-interpreted to forbid not only inheritance by a woman, but also inheritance through a female line, thus barring Edward III of England from the French throne.
Split into simpler sentences: At this time, a further rule of succession, again arguably based on the Salic Law, was recognized as forbidding not only inheritance by a woman, but also inheritance through a female line. Application of this rule barred Edward III of England from the French throne.