theorem Th56: :: JGRAPH_4:56

for cn being Real
for K0, B0 being Subset of (TOP-REAL 2)
for f being Function of ((TOP-REAL 2) | K0),((TOP-REAL 2) | B0) st - 1 < cn & cn < 1 & f = (cn -FanMorphN) | K0 & B0 = { q where q is Point of (TOP-REAL 2) : ( q `2 >= 0 & q <> 0. (TOP-REAL 2) ) } & K0 = { p where p is Point of (TOP-REAL 2) : ( (p `1) / |.p.| >= cn & p `2 >= 0 & p <> 0. (TOP-REAL 2) ) } holds
f is continuous