CompletedGroupAlgebra/UniversalProperty.lean

1import CompletedGroupAlgebra.UniversalProperty.Basic
2import CompletedGroupAlgebra.UniversalProperty.FiniteQuotient
3import CompletedGroupAlgebra.UniversalProperty.OpenSubmoduleQuotient
4import CompletedGroupAlgebra.UniversalProperty.ProfiniteModule
6/-
7PUBLIC_PAGE_SNAPSHOT
8generated_at: 2026-05-27T09:47:29+09:00
9lean_source: lean4/CompletedGroupAlgebra/UniversalProperty.lean
10translation_root: data/translation
11purpose: identifies the local data snapshot used to build pages/
12placement: after imports, never before imports
13-/
14/-!
15# Universal property of completed group algebras
17The completed group algebra is presented as an inverse limit of finite group algebras, together with canonical augmentation, augmentation ideal, finite-stage maps, functoriality, and profinite module universal properties.
18-/