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Determine whether each of these posets is well-ordered.

(Q ∩[0, 1], ≤) (the set of rational numbers between
0 and 1 inclusive)
 

The answer is not well ordered because as it doesn't have any unique least element as 0 can be expressed in p/q forms like (0/12,0/23,0/234). All are representing zero but there is no unique among them.

Is this the reason here? Please confirm
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