reserve MS for OrtAfPl;
reserve MP for OrtAfSp;

theorem Th1:
  for a,b,c being Element of MP st not LIN a,b,c holds a<>b & b<>c & a<>c
proof
  let a,b,c be Element of MP such that
A1: not LIN a,b,c;
  reconsider b9=b,a9=a,c9=c as Element of the AffinStruct of MP;
  assume not thesis;
  then LIN a9,b9,c9 by AFF_1:7;
  hence contradiction by A1,ANALMETR:40;
end;
