well ordered

well-ordered

[wel-awr-derd]
adjective
arranged, planned, or occurring in a desirable way, sequence, etc.

Origin:
1600–10

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World English Dictionary
well-ordered
 
adj
logic, maths (of a relation) having the property that every nonempty subset of its field has a least member under the relation: less than is well-ordered on the natural numbers but not on the reals, since an open set has no least member

Collins English Dictionary - Complete & Unabridged 10th Edition
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Etymonline
Word Origin & History

well-ordered
1606, from well (adv.) + pp. of order.
Online Etymology Dictionary, © 2010 Douglas Harper
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