#[local]
Hint Resolve powerRZ_O powerRZ_1 powerRZ_NOR powerRZ_add: real.

Lemma powerRZ_mult_distr_depr :
forall m x y, ((0 <= m)%Z \/ (x * y <> 0)%R) ->
(powerRZ (x*y) m = powerRZ x m * powerRZ y m)%R.