Prove that a subset of a linearly independent set is a linearly independent set

Question

Let $S$ be a linearly independent subset of a finite dimensional space $V$. Let $S_1 \subset S$, then prove that $S_1$ is linearly independent.

I have looked all through my textbook, but I have no idea how to solve this proof, or for that matter, even where to start.

Answer 1

Step 1: Write down the definition of being linearly independent. (Add it here to your question!)

Step 2: There is no step 2 ;-)

Answer 2

Assume not then S is also not linearly independent. So you are done by contradiction