theorem
  X is satisfying_indirect_Scherungssatz implies X is satisfying_Scherungssatz
proof
  assume
A1: X is satisfying_indirect_Scherungssatz;
  then X is satisfying_major_indirect_Scherungssatz;
  then
A2: X is satisfying_major_Scherungssatz by Th4;
  X is satisfying_minor_indirect_Scherungssatz by A1,Th1;
  then X is satisfying_minor_Scherungssatz by Th3;
  hence thesis by A2,Th2;
end;
