Let ABC be a triangle. Let K be a circle that contains B and C, intersects side AB at a point D between A and B, and intersects side AC at a point E betwen A and C. Let L be a circle that contains D and E and is tangent to line AB. Also assume that L intersects AE at a point F between A and E. Prove that line DF is parallel to line BC.

I've tried everything, any help please?