let X, Y be non empty TopSpace; :: thesis: the carrier of (oContMaps (X,Y)) c= Funcs ( the carrier of X, the carrier of Y)
oContMaps (X,Y) is SubRelStr of (Omega Y) |^ the carrier of X by WAYBEL24:def 3;
then A1: the carrier of (oContMaps (X,Y)) c= the carrier of ((Omega Y) |^ the carrier of X) by YELLOW_0:def 13;
TopStruct(# the carrier of Y, the topology of Y #) = TopStruct(# the carrier of (Omega Y), the topology of (Omega Y) #) by WAYBEL25:def 2;
hence the carrier of (oContMaps (X,Y)) c= Funcs ( the carrier of X, the carrier of Y) by A1, YELLOW_1:28; :: thesis: verum