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irreflexive relation

type of binary relation
Thing general Q1097991
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irreflexive relation

Summary

irreflexive relation ranks in the top 2% of general entities by monthly Wikipedia readership (11 views/month).[1]

Key Facts

  • irreflexive relation's subclass of is recorded as endorelation[2].
  • irreflexive relation's opposite of is recorded as reflexive relation[3].
  • irreflexive relation's Encyclopædia Britannica Online ID is recorded as topic/irreflexive-relation[4].
  • irreflexive relation's has characteristic is recorded as irreflexivity[5].
  • irreflexive relation's different from is recorded as non-reflexive relation[6].
  • irreflexive relation's different from is recorded as non-reflexive relation[7].
  • irreflexive relation's defining formula is recorded as \forall a \in X (\neg a R a)[8].
  • irreflexive relation's Google Knowledge Graph ID is recorded as /g/11r_pfjpx[9].
  • irreflexive relation's MathWorld ID is recorded as Irreflexive[10].
  • irreflexive relation's nLab ID is recorded as irreflexive relation[11].
  • irreflexive relation's maintained by WikiProject is recorded as WikiProject Mathematics[12].
  • irreflexive relation's in defining formula is recorded as R[13].
  • irreflexive relation's in defining formula is recorded as X[14].
  • irreflexive relation's Metamath statement ID is recorded as df-irreflexive[15].

Why It Matters

irreflexive relation ranks in the top 2% of general entities by monthly Wikipedia readership (11 views/month).[1] It has Wikipedia articles in 8 language editions, a strong signal of global cultural recognition.[16] It is known by 21 alternative names across languages and contexts.[17]

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] ↑ . Mathematical Foundations of Computational Engineering. wikidata.org.
  8. [9] ↑ . wikidata.org.
  9. [10] ↑ . wikidata.org.
  10. [11] ↑ . wikidata.org.
  11. [12] ↑ . wikidata.org.
  12. [13] ↑ . wikidata.org.
  13. [14] ↑ . wikidata.org.
  14. [15] ↑ . wikidata.org.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [16] ↑ . Wikidata sitelinks. wikidata.org.
  3. [17] ↑ . 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). irreflexive relation. Retrieved April 10, 2026, from https://4ort.xyz/entity/irreflexive-relation
MLA “irreflexive relation.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/irreflexive-relation.
BibTeX @misc{4ortxyz_irreflexive-relation_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{irreflexive relation}}, year = {2026}, url = {https://4ort.xyz/entity/irreflexive-relation}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): irreflexive relation — https://4ort.xyz/entity/irreflexive-relation (retrieved 2026-04-10)

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