Sure, here's how you can verify your downloaded playlists on Spotify:

1. Open your Spotify app.
2. Tap on 'Your Library' at the bottom right of your screen.
3. Under 'Playlists', you will see a list of all your created and saved playlists.
4. To see if a playlist has been downloaded, look for a green arrow icon next to the playlist name. This indicates that the playlist has been downloaded for offline listening.

Remember, you need to be a Spotify Premium user to download playlists for offline listening. Also, make sure your app is set to Offline Mode when you want to listen to these downloaded playlists without using data.