How does a matchstick light up with a magnifying glass

Light which enters the magnifying glass are focus at a point . The focused sunlight which comes out of the magnifying glass have high energy. Thus, if the focused sunlight ray is pointed at the tip of the matchstick which contains phosphorus sesquisulfide as the active ingredient and gelatin as a binder, the match head would light up without the use of friction. This is due to the intense heat focused at one point .