I am trying to prove that a board with one square removed can be covered by L-shaped tiles(3 square L-shaped tile). Here is my proof:

20.Proof: We use induction on . Base case: For , a square grid with any one square removed can be covered by exactly one L-shaped tile. Induction step: Suppose now as induction hypothesis that for some positive integer , a square grid with any one square removed can be covered using L-shaped tiles, were is some positive integer. Then a board with one square removed can be covered by L-shaped tiles. Conclusion: Hence, by induction, for a positive integer , a square grid with any one square removed can be covered by L-shaped tiles.

Is this proof correct?

Thanks