theorem Th95: :: ORDINAL7:82

for a, b being Ordinal holds
( ( omega -exponent ((CantorNF (a (+) b)) . 0) in rng (omega -exponent (CantorNF a)) implies omega -exponent ((CantorNF (a (+) b)) . 0) = (omega -exponent (CantorNF a)) . 0 ) & ( omega -exponent ((CantorNF (a (+) b)) . 0) in rng (omega -exponent (CantorNF b)) implies omega -exponent ((CantorNF (a (+) b)) . 0) = (omega -exponent (CantorNF b)) . 0 ) )