proper inclusion

noun

The state of being a proper subset; a subset relation in which a set A is a subset of a set B but A is not equal to B.

Opposite
improper inclusionequality
Ask AI about this wordChatGPTClaudePerplexityGoogle AIGrok

Meanings

nounproper inclusion (uncountable)
  1. uncountablemathematicsThe state of being a proper subset; a subset relation in which a set A is a subset of a set B but A is not equal to B.

    The symbol ⊆ is used for ordinary inclusion, and ⊂ is sometimes used for proper inclusion.

    1960, Paul R. Halmos, Naive Set Theory, Van Nostrand, page 6

Synonyms & antonyms

Opposite
improper inclusionequality
Cite this entry
APA

proper inclusion. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/proper%20inclusion

MLA

“proper inclusion.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/proper%20inclusion. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “proper inclusion,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/proper%20inclusion.

Source: proper inclusion on Wiktionary, CC BY-SA 4.0.