:: deftheorem Def3 defines denominator RAT_1:def 3 :
for p being Rational
for b2 being Nat holds
( b2 = denominator p iff ( b2 <> 0 & ex m being Integer st p = m / b2 & ( for n being Integer
for k being Nat st k <> 0 & p = n / k holds
b2 <= k ) ) );