I am having this relation: 

$$ A=\mathcal P(\mathbb {N} 
\diagdown
0) , $$ 

```
                             A~B :<=>  min A = min B

```

I haved already proved, that it is a equivalence relation. Now I have to find an equivalence class for this relation. I am knowing the definition of an equivalence class 
$$[x] := y \in A|\ xRy $$

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**What is the amount of the equivalence classes of this relation?**