I should mention right now that I was a dumbass and the identity was likely false. I'm sorry for posting lies on the internet.

I derived this by considering types as sets of tests and looking at a bunch of proof systems.
I checked it by considering all possible proofs of each term and verifying they unified of both sides of ∩.

as in linear logic, which has too many different definitions to give any. here's a helpful guide curien.galene.org/ECI2023/ll-h...

why are the circled operators so ugly in this font

What even is the toquos thing. The CCRU is from 1995. Some would consider it legitimately influential.

ccru.net/index.htm

I fixed the numbers on this popular meme. The interpretations are still trash, but at least the numbers are correct 👍