Wash your Brussels sprouts well and remove any dirty/discolored leaves. Holding your sprouts by the root, carefully shave them using a mandolin. Obviously, you can use a sharp knife, if you are not in possession of a fancy mandolin.

Wash you cauliflower and carefully shave the florets using your mandolin/knife.

In a large bowl, combine the shaved Brussels sprouts and cauliflower, walnuts, pomegranate arils and pecorino Romano.

Add the olive oil and lemon juice and toss to coat your salad. Season with salt and pepper to taste.