reserve F for Field;
reserve a,b,c,d,p,q,r for Element of MPS(F);
reserve e,f,g,h,i,j,k,l,m,n,o,w for Element of [:the carrier of F,the carrier
  of F,the carrier of F:];
reserve K,L,M,N,R,S for Element of F;
reserve FdSp for FanodesSp;
reserve a,b,c,d,p,q,r,s,o,x,y for Element of FdSp;

theorem Th17:
  not a,b,c are_collinear & a,b '||' c,d & c <>d implies
  not a,b,x are_collinear or not c,d,x are_collinear
by Th16,PARSP_1:26;
