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De Morgan's laws

pair of transformation rules that are both valid rules of inference
Intangible theorem Q173300
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De Morgan's laws

Summary

De Morgan's laws is a theorem[1]. It ranks in the top 3% of theorem entities by monthly Wikipedia readership (658 views/month).[2]

Key Facts

  • De Morgan's laws's image is recorded as Demorganlaws.svg[3].
  • De Morgan's laws's instance of is recorded as theorem[4].
  • De Morgan's laws's instance of is recorded as rule of inference[5].
  • Augustus De Morgan is named after De Morgan's laws[6].
  • De Morgan's laws's Freebase ID is recorded as /m/0h7nn[7].
  • De Morgan's laws's Gran Enciclopèdia Catalana ID is recorded as 0021979[8].
  • De Morgan's laws's Encyclopædia Britannica Online ID is recorded as topic/De-Morgan-laws[9].
  • De Morgan's laws's defining formula is recorded as \neg(P \land Q) \vdash (\neg P \lor \neg Q).[10].
  • De Morgan's laws's defining formula is recorded as \neg(P \lor Q) \vdash (\neg P \land \neg Q).[11].
  • De Morgan's laws's admissible rule in is recorded as classical logic[12].
  • De Morgan's laws's studied by is recorded as logic[13].
  • De Morgan's laws's MathWorld ID is recorded as deMorgansLaws[14].
  • De Morgan's laws's maintained by WikiProject is recorded as WikiProject Mathematics[15].
  • De Morgan's laws's Microsoft Academic ID is recorded as 160443082[16].
  • De Morgan's laws's Brilliant Wiki ID is recorded as de-morgans-laws[17].
  • De Morgan's laws's in defining formula is recorded as P[18].
  • De Morgan's laws's in defining formula is recorded as Q[19].
  • De Morgan's laws's in defining formula is recorded as \land[20].
  • De Morgan's laws's in defining formula is recorded as \lnot[21].
  • De Morgan's laws's in defining formula is recorded as \lor[22].
  • De Morgan's laws's in defining formula is recorded as \vdash[23].
  • De Morgan's laws's New Encyclopedic Dictionary of Czech ID is recorded as DE%20MORGANOVY%20Z%C3%81KONY[24].
  • De Morgan's laws's Encyclopedia of Mathematics article ID is recorded as De_Morgan_laws[25].
  • De Morgan's laws's Lex ID is recorded as De_Morgans_love[26].
  • De Morgan's laws's Treccani's Enciclopedia della Matematica ID is recorded as de-morgan-leggi-di[27].

Why It Matters

De Morgan's laws ranks in the top 3% of theorem entities by monthly Wikipedia readership (658 views/month).[2] It has Wikipedia articles in 29 language editions, a strong signal of global cultural recognition.[28] It is known by 15 alternative names across languages and contexts.[29]

Related Entities

Augustus De Morgan Senckenberg – Leibniz Institution for Biodiversity and Earth System Research

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] ↑ . Freebase Data Dumps. wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . wikidata.org.
  8. [10] ↑ . wikidata.org.
  9. [11] ↑ . wikidata.org.
  10. [12] ↑ . wikidata.org.
  11. [13] ↑ . wikidata.org.
  12. [14] ↑ . wikidata.org.
  13. [15] ↑ . 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). De Morgan's laws. Retrieved May 3, 2026, from https://4ort.xyz/entity/de-morgan-s-laws
MLA “De Morgan's laws.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/de-morgan-s-laws.
BibTeX @misc{4ortxyz_de-morgan-s-laws_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{De Morgan's laws}}, year = {2026}, url = {https://4ort.xyz/entity/de-morgan-s-laws}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): De Morgan's laws — https://4ort.xyz/entity/de-morgan-s-laws (retrieved 2026-05-03)

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