n1xx1

thank you

I got it now

ahhhhhhhhhhh ok

oh wait, I think I'm misunderstanding the definition of downset

like, d is not <= b, is it?

In the image I linked on the second row of the "set of downsets" there is {a,b,c,d}, but it isn't a downset, and that's confusing me

Like this: i.imgur.com/JoVuZWi.png

So the set of downset forms a lattice itself, right? The question is how to build it? I haven't found any examples around

We call them downsets, I think it's the opposite of this: en.wikipedia.org/wiki/Upper_set

I'm talking about this: en.wikipedia.org/wiki/Lattice_(order)

I need some quick help on lattices' downsets. How do I find the set of downsets?

While you are discussing about those interesting topics I know nothing about, may I ask a simple question?