Why Are There Contradictions in Hasse Diagram Examples?

[arnold28]

Ok I don't understand one thing...We ahd this example in school

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

        70
       / | \
     10 14 35
     | X  X |
     2   5  7
      \  | /
         1

X means crossed lines

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 there's 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 don't 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 don't understand here :(

 

[Hurkyl]

So why is there a line between 1 and 5? Because there's element 2 in between.

Really? 1 divides 2 and 2 divides 5?

 

[arnold28]

i still don't get it :(
for example why is 2 immediate predecessor of 10

 

[Hurkyl]

i still don't get it :(
for example why is 2 immediate predecessor of 10

Well, what could come between them? What numbers both divide 10 and are divisible by 2?