[John](https://forum.azimuthproject.org/profile/17/John%20Baez)
I was having a hard time proving [puzzle 83](https://forum.azimuthproject.org/discussion/2098/lecture-27-chapter-2-adjoints-of-monoidal-monotones#latest)
and I think it's because the unit conditions are the other way around for the lax and oplax monotones, respectively:

- For the lax monotone we should require:
\\( I_Y \le f(I_X) . \\)

- For the oplax monotone we should require:
\\( f(I_X) \le_Y I_Y . \\)

And a nitpick:
one of these equations was using \\(1\\) rather than \\(I\\) to denote the unit;
I've noticed this notation is also mixed at the end of the [next lecture](https://forum.azimuthproject.org/discussion/2098/lecture-27-chapter-2-adjoints-of-monoidal-monotones#latest).