theorem :: PDIFF_3:37

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