User blog comment:Syst3ms/A formalization of Pi Notation as an ordinal notation/@comment-33713741-20190804224846/@comment-35392788-20190805175416

@Plain'N'Simple

Honestly, I don't even know if there's a lot to comment. PBot (or p-adic) pretty much spotted all formality errors for me and I fixed them. Now all that's left is to prove the three statements. But I mean, the entire L(x,y) is supposed to emulate common fundamental sequences found in OCFs or Veblen phi, while allowing for the "transfinite fundamental sequence" weirdness inherent to pi notation. If any weird behaviour were to arise it would come from the transfinite FS thing, and I think I handled it well enough as to where it won't be an issue.

Whether I have the motivation to prove the statements is another thing, because they're either tedious or tricky.