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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 914 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 is a type of preorder[4].
  • equivalence relation is a type of symmetric relation[5].
  • equivalence relation's Commons category is recorded as Equivalence relations[6].
  • equivalence relation's Stack Exchange tag is recorded as https://proofassistants.stackexchange.com/tags/equivalence-relation[7].
  • equivalence relation's different from is recorded as if and only if[8].
  • equivalence relation's studied by is recorded as mathematics[9].
  • equivalence relation's on focus list of Wikimedia project is recorded as Wikipedia:Vital articles/Level/4[10].
  • equivalence relation's maintained by WikiProject is recorded as WikiProject Mathematics[11].

Body

Definition and Type

equivalence relation's instance of is recorded as type of relation[3]. Recorded subclass of include preorder[4] and symmetric relation[5].

Why It Matters

equivalence relation draws 914 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.[12] It is known by 36 alternative names across languages and contexts.[13]

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] ↑ . wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . wikidata.org.
  8. [10] ↑ . wikidata.org.
  9. [11] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [12] ↑ . Wikidata sitelinks. wikidata.org.
  3. [13] ↑ . 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)

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. 5d ago · Twofivesixbot bot · 2026-05-24 view diff on Wikidata ↗
    Subclass of → preorder, 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.