Preheat oven to 425 degrees.
Mix together the yogurt, lemon juice and Dijon in a shallow bowl. Pour the crushed corn flakes onto a plate or shallow dish.
Pound the chicken to an even thickness and salt and pepper on both sides. Dredge in the yogurt, then the corn flake mix. Put the chicken on a sheet pan sprayed with cooking spray.
On the other side of the pan, put the broccoli florets. Toss with salt, pepper, and a few crushed red pepper flakes. Spray with cooking spray.
Bake at 425 until the chicken is cooked through and the broccoli is crisp on the edges.