reserve x,x0,x1,y,y0,y1,r,r1,s,p,p1 for Real;
reserve z,z0 for Element of REAL 2;
reserve n for Element of NAT;
reserve s1 for Real_Sequence;
reserve f,f1,f2 for PartFunc of REAL 2,REAL;
reserve R,R1 for RestFunc;
reserve L,L1 for LinearFunc;

theorem
  for z0 being Element of REAL 2 holds f
  is_hpartial_differentiable`11_in z0 implies SVF1(1,pdiff1(f,1),z0)
  is_continuous_in proj(1,2).z0
by Th9,PDIFF_2:21;
