theorem Th44: :: WAYBEL26:44

for X, Y being non empty TopSpace
for S being Scott TopAugmentation of InclPoset the topology of Y
for W1, W2 being open Subset of [:X,Y:] st W1 c= W2 holds
for f1, f2 being Element of (oContMaps (X,S)) st f1 = (W1, the carrier of X) *graph & f2 = (W2, the carrier of X) *graph holds
f1 <= f2