Proving Elements of a Set are Distinct

[JG89]

If a question asks me to prove something about the elements of a set, say {0,1,a,b}, then is it assumed that all elements are distinct?

Because I am attempting a proof, but the only way to prove the proposition is if all elements are distinct. However, it doesn't say in the original question that all elements are distinct, which leads me to my question.

 

[tiny-tim]

If a question asks me to prove something about the elements of a set, say {0,1,a,b}, then is it assumed that all elements are distinct?

Because I am attempting a proof, but the only way to prove the proposition is if all elements are distinct. However, it doesn't say in the original question that all elements are distinct, which leads me to my question.

Hi JG89!

Yes, if an exam question defines a set as including particular elements, then they are all distinct.

 

[JG89]

Thanks :)

 

[Hurkyl]

Hi JG89!

Yes, if an exam question defines a set as including particular elements, then they are all distinct.

Conventions vary. The OP ought to ask his professor before making such a dangerous assumption.