Is it true that every CFG can be written as CFL just by using set builder notation and basic algebraic terms?
For example CFG named $G$:
$$S \rightarrow a\,S\,b\,\,|\,\,\epsilon$$
Can be written as following CFL:
$$L(G)=\{\, a^nb^n\,\,|\,\,n \ge 0\}$$
Does it hold generally?