Category of abelian groups has enough injectives #
Given an abelian group A
, then i : A ⟶ ∏_{A⋆} ℚ ⧸ ℤ
defined by i : a ↦ c ↦ c a
is an
injective presentation for A
, hence category of abelian groups has enough injectives.
Implementation notes #
This file is split from Mathlib/Algebra/Category/Grp/Injective.lean
to prevent import loops.