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In writing these proofs, I found it quite convenient to have given names to the 1-hop, 2-hop etc. formulas in my earlier posts.

References to earlier posts: 1-hop constraint, 2-hop inequality, 3-hop equivalence, 4-hop fixed point.

## Comments

`![picture](https://i.imgur.com/1eoPGy4.png)`

I think most of this can be generalized to adjoint functors.

`I think most of this can be generalized to adjoint functors.`

Hi Christopher, thanks for the note. I'm just getting to Chapter 3 now, so I look forward to learning how all this stuff fits into the larger scheme of things!

`Hi Christopher, thanks for the note. I'm just getting to Chapter 3 now, so I look forward to learning how all this stuff fits into the larger scheme of things!`