| Symbol | Name | Short description | Definition |
|---|---|---|---|
/\ |
universal quantifier | for every | |
\/ |
existential quantifier | there exists | |
=> |
implication | then | |
<=> |
iff | if and only if | |
! |
negation | not | |
!= |
is not equal to | ||
a:-A |
belonging | a belongs to A | |
f|A |
restriction | f|A={(x,f(x))|x:-A} | |
AnB |
intersection | intersection of A and B |
n({A,B}) |
n(S) |
intersection | intersection of all sets that belong to S |
Operations on sets |
O |
empty set | set that doesn't contain any element |
Axioms |
P(A) |
power set | set that contains all subsets of A |
Axioms |
AuB |
union | union of A and B |
u({A,B}) |
u(S) |
union | union of all sets that belong to S |
Axioms |
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