What would happen if you did not experience frictional forces as you walked

Is it possible to walk in a frictionless world. I think you won't be able to walk because walking depends on friction acting on your feet. I think about it like an ice rink because when you try to walk on an ice rink it is incredibly hard as there is less friction acting on your feet. Can it be shown mathematically using principles of mechanics that it is not possible to walk in a frictionless world