theorem Th24: :: FVALUAT1:24

for K being non empty non degenerated right_complementable distributive Abelian add-associative right_zeroed associative Field-like doubleLoopStr
for a, b being Element of K
for v being Valuation of K st K is having_valuation & b <> 0. K & 0 <= v . (a / b) holds
v . b <= v . a