hi how can i tell if if something is anti symmetric i know the definition but its confusing can some one give me a good example.
The definition goes if (a,b) R implies (b,a) R then a=b
i don't understand how that would work wouldn't it just mean if it were reflexive and there isn't an (b,a) that relates to (a,b) ? that what the di graph looks like can some one clarify ?
ohhh as well does being reflexive guarantee transitivity ?