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subset_complement [2013/06/16 17:56] nikolaj |
subset_complement [2014/03/21 11:11] (current) |
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| ===== Subset complement ===== | ===== Subset complement ===== | ||
| - | ==== Definition ==== | + | ==== Set ==== |
| - | | @#88DDEE: $Y$ | | + | | @#55CCEE: context | @#55CCEE: $Y$ | |
| + | | @#55CCEE: context | @#55CCEE: $X\subset Y$ | | ||
| - | | @#88DDEE: $X\subset Y$ | | + | | @#FFBB00: definiendum | @#FFBB00: $ X^c \equiv Y\smallsetminus X $ | |
| - | + | ||
| - | | @#55EE55: $ X^c $ | | + | |
| - | + | ||
| - | | @#55EE55: $ Y\smallsetminus X $ | | + | |
| + | ==== Discussion ==== | ||
| Notice that the notation $ X^c $ doesn't actually denote the bigger set $Y$. It is supposed to be stated or known from the context. | Notice that the notation $ X^c $ doesn't actually denote the bigger set $Y$. It is supposed to be stated or known from the context. | ||
| - | |||
| - | ==== Ramifications ==== | ||
| === Reference === | === Reference === | ||
| Wikipedia: [[http://en.wikipedia.org/wiki/Complement_%28set_theory%29|Complement]] | Wikipedia: [[http://en.wikipedia.org/wiki/Complement_%28set_theory%29|Complement]] | ||
| - | + | ==== Parents ==== | |
| - | ==== Context ==== | + | === Context === |
| - | Parameterized set | + | |
| - | === Parents === | + | |
| [[Complement]] | [[Complement]] | ||
