theorem Th23: :: FVALUAT1:23

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 & a <> 0. K & b <> 0. K holds
v . (a / b) = - (v . (b / a))