reserve D for set;
reserve x,x0,x1,x2,y,y0,y1,y2,z,z0,z1,z2,r,s,t for Real;
reserve p,a,u,u0 for Element of REAL 3;
reserve n,m,k for Element of NAT;
reserve f,f1,f2,f3,g for PartFunc of REAL 3,REAL;
reserve R,R1,R2 for RestFunc;
reserve L,L1,L2 for LinearFunc;

theorem
  for u0 being Element of REAL 3 holds f is_partial_differentiable_in u0,3
  implies SVF1(3,f,u0) is_continuous_in proj(3,3).u0
by FDIFF_1:24;
