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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 draws 7,754 Wikipedia views per month (type_of_relation category, ranking #3 of 22).[1]

Key Facts

  • equivalence relation is a type of symmetric relation[2].
  • equivalence relation's Commons category is recorded as Equivalence relations[3].
  • equivalence relation's described by source is recorded as Q140169500[4].
  • equivalence relation's Stack Exchange tag is recorded as https://proofassistants.stackexchange.com/tags/equivalence-relation[5].
  • equivalence relation's different from is recorded as if and only if[6].
  • equivalence relation's studied by is recorded as mathematics[7].
  • equivalence relation's on focus list of Wikimedia project is recorded as Wikipedia:Vital articles/Level/4[8].
  • equivalence relation's maintained by WikiProject is recorded as WikiProject Mathematics[9].

Body

Definition and Type

equivalence relation is a type of symmetric relation[2].

Why It Matters

equivalence relation draws 7,754 Wikipedia views per month (type_of_relation category, ranking #3 of 22).[1] It has Wikipedia articles in 28 language editions, a strong signal of global cultural recognition.[10] It is known by 65 alternative names across languages and contexts.[11]

Related Entities

mathematics Moselle

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] ↑ . wikidata.org.
  5. [6] ↑ . wikidata.org.
  6. [7] ↑ . wikidata.org.
  7. [8] ↑ . wikidata.org.
  8. [9] ↑ . wikidata.org.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [10] ↑ . Wikidata sitelinks. wikidata.org.
  3. [11] ↑ . 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 October 4, 2026, from https://4ort.xyz/entity/equivalence-relation
MLA “equivalence relation.” 4ort.xyz Knowledge Graph, 4ort.xyz, 4 Oct. 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: 2026-10-04}}
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 2026-10-04)

Canonical URL: https://4ort.xyz/entity/equivalence-relation · 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. 6d ago · عُثمان · 2026-09-28 view diff on Wikidata ↗
    Wikipedia languages → ['ar', 'ast', 'ba', 'bn', 'bs', 'ca', 'commons', 'cs', 'cv', 'da', 'de', 'el', '
    Claims rich → —
    "/* wbsetclaim-create:2||1 */ [[Property:P279]]: [[Q141593815]]"
  2. 8d ago · ~2026-51839-76 · 2026-09-26 view diff on Wikidata ↗
    Instance of → —
    Subclass of → symmetric relation
    "/* wbremoveclaims-remove:1| */ [[Property:P31]]: [[Q130324710]]"
  3. 5w ago · AddyLockPool · 2026-08-27 view diff on Wikidata ↗
    Described by source → Q140169500
    "/* wbsetclaim-create:2||1 */ [[Property:P1343]]: [[Q140169500]]"
  4. 19w ago · Twofivesixbot bot · 2026-05-24 view diff on Wikidata ↗
    Subclass of → symmetric relation
    Studied by → mathematics
    Different from → if and only if
    Instance of → —
    + 5 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|2 */ [[Property:P8189]]: 987007553014705171, mv to monolingual text names on J9U statements"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.