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well-order

total order such that every nonempty subset of the domain has a least element
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well-order

Summary

well-order has Wikipedia articles in 23 language editions, a strong signal of global cultural recognition.[1]

Key Facts

  • well-order is a type of total order[2].
  • well-order is a type of well-founded order[3].
  • well-order's facet of is recorded as well-ordered set[4].
  • well-order's has characteristic is recorded as well-founded relation[5].
  • well-order's different from is recorded as well-ordered set[6].

Body

Definition and Type

Recorded subclass of include total order[2] and well-founded order[3].

Why It Matters

well-order has Wikipedia articles in 23 language editions, a strong signal of global cultural recognition.[1] well-order is known by 35 alternative names across languages and contexts.[7]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [5] ↑ . cantorsattic.info. cantorsattic.info. Provenance: wikidata.org.
  5. [6] ↑ . wikidata.org.

Aggregate / graph-position facts

  1. [1] ↑ . Wikidata sitelinks. wikidata.org.
  2. [7] ↑ . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). well-order. Retrieved April 10, 2026, from https://4ort.xyz/entity/well-order
MLA “well-order.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/well-order.
BibTeX @misc{4ortxyz_well-order_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{well-order}}, year = {2026}, url = {https://4ort.xyz/entity/well-order}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): well-order — https://4ort.xyz/entity/well-order (retrieved 2026-04-10)

Canonical URL: https://4ort.xyz/entity/well-order · Last refreshed:

Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 3d ago · Mynus grey · 2026-07-02 view diff on Wikidata ↗
    Aliases → —
    Subclass of → —
    Different from → well-ordered set
    Facet of → well-ordered set
    + 3 other properties edited (see Wikidata diff for full list)
    "/* wbcreateclaim-create:1| */ [[Property:P14534]]: IsWellOrder, #quickstatements; #temporary_batch_1783013068346"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.