Ok I dont understand one thing...We ahd this example in school(adsbygoogle = window.adsbygoogle || []).push({});

We have poset < {1,2,5,7,10,14,35,70}, | >

| meas factor, for example a|b means b=ka, where k=integer

and we got this Hasse diagram

X means crossed linesCode (Text):70

/ | \

10 14 35

| X X |

2 5 7

\ | /

1

But the hasse diagram definition says that we draw a line between element and the element above it if and only if the lower element is the immediate predecessor of the above one. So why is there a line between 1 and 5? Because theres element 2 in between. Same with 1 and 7, 2 and 10, 7 and 35, etc etc same with almost every element. To me they dont seem to be immediate predecessors/successors with each other

I have google some more examples but they all have the same contradiction between definition and example. So what i dont understand here :(

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# Hasse diagram of a POSET

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