English
LightCondAb is the analogue of LightCondensed for abelian groups: a condensed abelian group object obtained via LightCondensed.ofSheafLightProfinite.
Русский
LightCondAb — аналог LightCondensed для абелевых групп: конденсированная абелева группа, полученная через LightCondensed.ofSheafLightProfinite.
LaTeX
$$$\text{LightCondAb} = \text{LightCondMod}_{\mathbb{Z}}$ via\ ofSheafLightProfinite.$$
Lean4
/-- A `LightCondAb` version of `LightCondensed.ofSheafLightProfinite`. -/
noncomputable abbrev ofSheafLightProfinite (F : LightProfiniteᵒᵖ ⥤ ModuleCat ℤ) [PreservesFiniteProducts F]
(hF : EqualizerCondition F) : LightCondAb :=
LightCondMod.ofSheafLightProfinite ℤ F hF