theorem Th19: :: SIMPLEX2:19

for i, j being Element of NAT ex f being Function of [:(TOP-REAL i),(TOP-REAL j):],(TOP-REAL (i + j)) st
( f is being_homeomorphism & ( for fi being Element of (TOP-REAL i)
for fj being Element of (TOP-REAL j) holds f . (fi,fj) = fi ^ fj ) )