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
  not o,a,c are_collinear & o,a,b are_collinear & o,c,p are_collinear & o,c
  ,q are_collinear & a,c '||' b,p & a,c '||' b,q implies p=q
by PARSP_1:34;
