Meanings
adjectiveproperly included (not comparable)
- not comparablemathematicsBeing a proper subset; having the property that every element of a set A is also an element of a set B, and A is not equal to B.
If A is a subset of B but A ≠ B, then A is said to be properly included in B.
2003, Herbert B. Enderton, Elements of Set Theory, Academic Press, page 22Synonyms: proper subset
Synonyms & antonyms
adjectiveBeing a proper subset; having the property that every element of a set A is also an element of a set B, and A is not equal to B.
Similar
Opposite
improperly includedequal to
Cite this entry
APA
properly included. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/properly%20included
MLA
“properly included.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/properly%20included. Accessed November 4, 2026.
Chicago
WatkinsX Dictionary, s.v. “properly included,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/properly%20included.
Source: properly included on Wiktionary, CC BY-SA 4.0.