Authenticity of our classical ahadith books

Shaikh Hurr al Amili says regarding te authenticity of our classical books of ahadith:

Wasail al shia

الفائدة الرابعة

The fourth benefit (point) 

 

[ في ذكر مصادر هذا الكتاب ] 

[In mention of the sources of this book] 

 

في ذكر الكتب المعتمدة التي نقلت منها أحاديث هذا الكتاب ، وشهد بصحتها مؤلفوها وغيرهم ، وقامت القرائن على ثبوتها ، وتواترت عن مؤلفيها ، أو علمت صحة نسبتها إليهم ، بحيث لم يبق فيها شكّ ولاريب .
كوجودها بخطوط أكابر العلماء .
وتكرر ذكرها في مصنفاتهم .
وشهادتهم بنسبتها .
وموافقة مضامينها لروايات الكتب المتواترة .
أو نقلها بخبر واحد محفوف بالقرينة .
وغير ذلك

In mention of the reliable books which I copied/referenced from them ahadith in this book, and testified by their authenticity their compilers and other than them, and stood the evidence upon their soundness, and their tawatur (consecutive transmission) from their compilers, or I know their authenticity of attribution to them, so that there does not remain in them doubt and no uncertainty. As I found them by the writing of great scholars and repetitive mention of them in their compilations and their testimony by their attribution. And their content is in agreement to (with) narrations of the mutawatir books. Or their being copied/referenced by (through) khabar wahid (single transmission) is fraught with presumption. And other than that.