In mathematical relations such as reflex, symmetric, transetive and so on. Does it need to occur once or must it apply to all values?
I want to know if different scenarios in relations must satisfy all the value in the relation.
In mathematical relations, a given set relation is reflexive if all the elements in the set exhibit (a,a). What about the rest of the relations? Such as symmetric, transitive, anti-symmetric and so on. Does is need to occur once, or does it need to be valid for any given values in a relation?