theorem Th119:
  P c= Seg m & lines M is linearly-independent implies lines Segm
  (M,P,Seg n) is linearly-independent
proof
  assume that
A1: P c= Seg m and
A2: lines M is linearly-independent;
  card Seg n=n by FINSEQ_1:57;
  hence thesis by A1,A2,Th118,VECTSP_7:1;
end;
