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