Module Type NZMulProp (Import NZ : NZAxiomsSig')(Import NZBase : NZBaseProp NZ).
Include NZAddProp NZ NZBase.
Hint Rewrite mul_0_r mul_succ_r : nz.
Hint Rewrite mul_1_l mul_1_r : nz.

Theorem mul_shuffle3 : forall n m p, n * (m * p) == m * (n * p).