Module Type NZMulProp (Import NZ : NZAxiomsSig')(Import NZBase : NZBaseProp NZ).
Include NZAddProp NZ NZBase.
Hint Rewrite mul_0_r mul_succ_r : nz.

Theorem mul_add_distr_r : forall n m p, (n + m) * p == n * p + m * p.