Hello, I have to proof that when R and S are equivalence relations then is an equivalence relation if and only if . Can anyone give me a hint?
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Originally Posted by MachinePL1993 Hello, I have to proof that when R and S are equivalence relations then is an equivalence relation if and only if . Can anyone give me a hint? You need to expand a bit on notation. I assume that have the same domain. But the notation is not standard. How is it defined?
Yes, are in the same domain. is a composition of two relations.
Originally Posted by MachinePL1993 Yes, are in the same domain. is a composition of two relations. [tex]R\circ S [/tex] gives That is the standard notation for composition. HINT: if is an equivalence relation then .
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