Boole's inequality

inequality applying to probability spaces

Thing inequality Q517378

Facts

8 properties

Instance of: inequality, theorem^[2]
Part of: Boole's and Bonferroni's inequalities^[4]
Defining formula: \mathbb P\left(\bigcup_{i=1}^\infty A_i\right) \le \sum_{i=1}^\infty\mathbb P(A_i)^[5]
In defining formula: A_i, \bigcup, \mathbb P, \sum^[9]^[10]^[11]^[12]
Maintained by WikiProject: WikiProject Mathematics^[8]
Named after: George Boole^[3]
Significant person: Dr. Michal Valko^[7]
Studied by: probability theory^[6]

🏷️ Also known as

en Boole's inequality en union bound cs Booleova nerovnost de Bonferroni-Ungleichung el ανισότητα Μπουλ el ανισότητα Boole es Desigualdad de Boole fr inégalité de Boole he חסם איחוד he אי-שוויון בול he חסם האיחוד it Disuguaglianze di Boole e di Bonferroni ja ブールの不等式 ko 불의 부등식 pl Nierówność Boole'a pt Desigualdade de Boole tr Boole eşitsizliği uk Нерівність Буля zh 布尔不等式

🔖 Identifiers · 4

Freebase ID: /m/01ylb_
MathWorld ID: BonferroniInequalities
Microsoft Academic ID (discontinued): 2778488152
Treccani's Enciclopedia della Matematica ID: disuguaglianza-di-boole

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🔗 Connections

Instance of 2

theorem, inequality

Maintained by WikiProject 1

WikiProject Mathematics

Studied by 1

probability theory

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Summary

Boole's inequality is an inequality^[1].

References

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

Direct Wikidata claims

[2] ↑ Boole's inequality — instance of (P31): theorem. wikidata.org.
[3] ↑ Boole's inequality — named after (P138): George Boole. wikidata.org.
[4] ↑ Boole's inequality — part of (P361): Boole's and Bonferroni's inequalities. wikidata.org.
[5] ↑ Boole's inequality — defining formula (P2534): \mathbb P\left(\bigcup_{i=1}^\infty A_i\right) \le \sum_{i=1}^\infty\mathbb P(A_i). wikidata.org.
[6] ↑ Boole's inequality — studied by (P2579): probability theory. wikidata.org.
[7] ↑ Boole's inequality — significant person (P3342): Dr. Michal Valko. misovalko.github.io. Retrieved 2025-12-14. misovalko.github.io. Provenance: wikidata.org.
[8] ↑ Boole's inequality — maintained by WikiProject (P6104): WikiProject Mathematics. wikidata.org.
[9] ↑ Boole's inequality — in defining formula (P7235): A_i. wikidata.org.
[10] ↑ Boole's inequality — in defining formula (P7235): \bigcup. wikidata.org.
[11] ↑ Boole's inequality — in defining formula (P7235): \mathbb P. wikidata.org.
[12] ↑ Boole's inequality — in defining formula (P7235): \sum. wikidata.org.

Class ancestry

[1] ↑ Boole's inequality is an instance of inequality (Q28113351) [P31, primary]. Wikidata. wikidata.org.

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