Prove that if R is an equivalence relation on $\displaystyle A \times A$, then the set $\displaystyle \{g(x): x \in A\} $ is a partition of A.

My partner and I honestly have no idea where to begin with this.(Headbang)

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- Mar 22nd 2011, 06:26 PMandirc5192Partition under certain conditions
Prove that if R is an equivalence relation on $\displaystyle A \times A$, then the set $\displaystyle \{g(x): x \in A\} $ is a partition of A.

My partner and I honestly have no idea where to begin with this.(Headbang) - Mar 22nd 2011, 07:30 PMtonio