reserve x,x0,x1,x2,y,y0,y1,y2,r,r1,s,p,p1 for Real;
reserve z,z0 for Element of REAL 2;
reserve n,m,k for Element of NAT;
reserve Z for Subset of REAL 2;
reserve s1 for Real_Sequence;
reserve f,f1,f2 for PartFunc of REAL 2,REAL;
reserve R,R1,R2 for RestFunc;
reserve L,L1,L2 for LinearFunc;

theorem
  for z0 being Element of REAL 2 holds f is_partial_differentiable_in z0
  ,2 implies SVF1(2,f,z0) is_continuous_in proj(2,2).z0
by FDIFF_1:24;
