theorem Th39:
  P is_inside_component_of L~g implies P meets RightComp g
proof
  assume P is_inside_component_of L~g;
  then
A1: P c= BDD L~g & P is_a_component_of (L~g)` by JORDAN2C:22;
  BDD L~g = RightComp g by Th37;
  hence thesis by A1,SPRECT_1:4,XBOOLE_1:67;
end;
