theorem LM210:
for
X,
Y,
W being
RealNormSpace for
z being
Point of
[:X,Y:] for
f being
PartFunc of
[:X,Y:],
W holds
(
partdiff`1 (
f,
z)
= partdiff (
(f * ((IsoCPNrSP (X,Y)) ")),
((IsoCPNrSP (X,Y)) . z),1) &
partdiff`2 (
f,
z)
= partdiff (
(f * ((IsoCPNrSP (X,Y)) ")),
((IsoCPNrSP (X,Y)) . z),2) )