Chicken Cutlets with Mushrooms, Peppers and Mozzarella

olive oil

all-purpose flour

large eggs, lightly beaten

seasoned bread crumbs

boneless, skinless chicken breast halves (about 1 3/4 lbs. total), pounded to 1/4-inch thickness

Salt and pepper

sliced mushrooms

white wine

jar roasted red peppers, drained, cut into strips

sliced mozzarella