Set contains elements that are *themselves* sets

[cepheid]

If a set contains elements that are *themselves* sets, then would it be correct to say that one of those elements is a subset of the set?

E.g.

Q = { {a}, {b}, {c} }

I know that { {a} } is a subset of Q (because it contains ONE of the elements)

But is {a} a subset of Q?

I don't think so, because none of the elements of {a} are present in Q.

 

[Hurkyl]

I don't think so, because none of the elements of {a} are present in Q.

You are correct.

 

[cepheid]

thanks