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Subset
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In set theory, a subset is a set which has some (or all) of the elements of another set, called superset, but does not have any elements that the superset does not have. A subset which does not have all the elements of its superset is called a proper subset. We use the symbol ⊆ to say a set is a subset of another set. We can also use ⊂ if it is a proper subset. The symbols ⊃ ⊇ are opposite  they tell us the second element is a (proper) subset of the first.^{[1]}^{[2]}^{[3]}
For example:
 {1, 2, 3} is a proper subset of {563, 1, 2, 3, 68}.
 The interval [0, 1] is a proper subset of the set of real numbers (also the set of positive numbers).
 [math][0, 1] \subset R[/math]
 [math][0, 1] \subset R_+[/math]
 {46,189,1264} is its own subset, and is a proper subset of the set of natural numbers.
 [math]\{ 46,189,1264\} \subseteq \{ 46,189,1264\}[/math]
 [math]\{ 46,189,1264\} \subset N [/math]
Related pages
References
 ↑ "Comprehensive List of Set Theory Symbols" (in enUS). 20200411. https://mathvault.ca/hub/highermath/mathsymbols/settheorysymbols/.
 ↑ Weisstein, Eric W.. "Subset" (in en). https://mathworld.wolfram.com/Subset.html.
 ↑ "Introduction to Sets". https://www.mathsisfun.com/sets/setsintroduction.html.
