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equivalence relation

reflexive, symmetric and transitive relation
Thing type_of_relation Q130998
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equivalence relation

Summary

equivalence relation is a type of relation[1]. It draws 328 Wikipedia views per month (type_of_relation category, ranking #3 of 22).[2]

Key Facts

  • equivalence relation's instance of is recorded as type of relation[3].
  • equivalence relation's GND ID is recorded as 4141500-0[4].
  • equivalence relation's Library of Congress authority ID is recorded as sh85044563[5].
  • equivalence relation's subclass of is recorded as preorder[6].
  • equivalence relation's subclass of is recorded as symmetric relation[7].
  • equivalence relation's Commons category is recorded as Equivalence relations[8].
  • equivalence relation's Freebase ID is recorded as /m/02jhw[9].
  • equivalence relation's Encyclopædia Britannica Online ID is recorded as topic/equivalence-relation[10].
  • equivalence relation's Stack Exchange tag is recorded as https://proofassistants.stackexchange.com/tags/equivalence-relation[11].
  • equivalence relation's different from is recorded as if and only if[12].
  • equivalence relation's studied by is recorded as mathematics[13].
  • equivalence relation's MathWorld ID is recorded as EquivalenceRelation[14].
  • equivalence relation's Quora topic ID is recorded as Equivalence-Relation[15].
  • equivalence relation's JSTOR topic ID is recorded as equivalence-relation[16].
  • equivalence relation's Open Library subject ID is recorded as equivalence_relations_(set_theory)[17].
  • equivalence relation's nLab ID is recorded as equivalence relation[18].
  • equivalence relation's Great Norwegian Encyclopedia ID is recorded as ekvivalens[19].
  • equivalence relation's Elhuyar ZTH ID is recorded as 032671[20].
  • equivalence relation's on focus list of Wikimedia project is recorded as Wikipedia:Vital articles/Level/4[21].
  • equivalence relation's TDKIV term ID is recorded as 000001664[22].
  • equivalence relation's OpenMath ID is recorded as logic1#equivalent[23].
  • equivalence relation's maintained by WikiProject is recorded as WikiProject Mathematics[24].
  • equivalence relation's Microsoft Academic ID is recorded as 156103551[25].
  • equivalence relation's ProofWiki ID is recorded as Definition:Equivalence_Relation[26].
  • equivalence relation's related image is recorded as Exemplare von Büchern mit eingezeichneter Äquivalenzrelation.svg[27].

Why It Matters

equivalence relation draws 328 Wikipedia views per month (type_of_relation category, ranking #3 of 22).[2] It has Wikipedia articles in 28 language editions, a strong signal of global cultural recognition.[28] It is known by 36 alternative names across languages and contexts.[29]

Related Entities

mathematics Moselle

References

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

Direct Wikidata claims

  1. [3] ↑ . wikidata.org.
  2. [4] ↑ . wikidata.org.
  3. [5] ↑ . github.com. Retrieved . github.com. Provenance: wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . Freebase Data Dumps. wikidata.org.
  8. [10] ↑ . wikidata.org.
  9. [11] ↑ . wikidata.org.
  10. [12] ↑ . wikidata.org.
  11. [13] ↑ . wikidata.org.
  12. [14] ↑ . wikidata.org.
  13. [15] ↑ . Quora. wikidata.org.
  14. [16] ↑ . wikidata.org.
  15. [17] ↑ . wikidata.org.
  16. [18] ↑ . wikidata.org.
  17. [19] ↑ . wikidata.org.
  18. [20] ↑ . wikidata.org.
  19. [21] ↑ . wikidata.org.
  20. [22] ↑ . wikidata.org.
  21. [23] ↑ . wikidata.org.
  22. [24] ↑ . wikidata.org.
  23. [25] ↑ . wikidata.org.
  24. [26] ↑ . wikidata.org.
  25. [27] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [28] ↑ . Wikidata sitelinks. wikidata.org.
  3. [29] ↑ . 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). equivalence relation. Retrieved May 3, 2026, from https://4ort.xyz/entity/equivalence-relation
MLA “equivalence relation.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/equivalence-relation.
BibTeX @misc{4ortxyz_equivalence-relation_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{equivalence relation}}, year = {2026}, url = {https://4ort.xyz/entity/equivalence-relation}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): equivalence relation — https://4ort.xyz/entity/equivalence-relation (retrieved 2026-05-03)

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