Question

An element of a set can never be a subset of itself. Prove.

Answer 1

Element and Set are two different entities. If you take a set A = {a,b,c}, it would have {}, {a},{b},{c},{a,b},{b,c},{a,c},{a,b,c} as its subsets. Take an element a. This element cannot be considered as a set. It's just a member of the set A.
a⊂A is incorrect.

However, {a}⊂A is correct