Some lemmas about qb+r

We prove some lemmas about the expression (plus (mult q r) r).

They are useful in the case of an euclidian division, to prove properties of the quotient and rest (with respect to le and lt).

Click here to look at the source .

Future work ...

In general, the expression qb+r is used when 0<r<b. Taking this fact into account may give us stronger results.