theorem Th22: :: WAYBEL26:22

for X being non empty TopSpace
for Z being monotone-convergence T_0-TopSpace
for Y being non empty SubSpace of Z st Y is_a_retract_of Z & oContMaps (X,Z) is complete & oContMaps (X,Z) is continuous holds
( oContMaps (X,Y) is complete & oContMaps (X,Y) is continuous ) by Th19, YELLOW16:21, YELLOW16:22;