How grammatically stupid I am

[L Verge]

First, I think this is a cumbersome sentence to begin with; but I started dissecting it to its root sentence - "The workings of another study ___ herein" (a sentence which stands alone). To use "lay" would require a direct object, and I don't think there is one. Therefore, I vote for "lie."

And if anyone else can lay out better rules, I will lie and swear that's what I said the first time.

Hopefully, we are not being graded on this...