Torsion of products #
This file proves that products of torsion-free monoids are torsion-free.
instance
Pi.instIsMulTorsionFree
{ι : Type u_1}
{M : ι → Type u_2}
[(i : ι) → Monoid (M i)]
[∀ (i : ι), IsMulTorsionFree (M i)]
:
IsMulTorsionFree ((i : ι) → M i)
instance
Pi.instIsAddTorsionFree
{ι : Type u_1}
{M : ι → Type u_2}
[(i : ι) → AddMonoid (M i)]
[∀ (i : ι), IsAddTorsionFree (M i)]
:
IsAddTorsionFree ((i : ι) → M i)