theorem Th14: :: URYSOHN3:14

for T being non empty TopSpace
for A, B being Subset of T
for G being Rain of A,B
for p being Point of T
for S being non empty Subset of ExtREAL st S = Rainbow (p,G) holds
for e1 being R_eal st e1 = 1 holds
( 0. <= sup S & sup S <= e1 )