Map · 22
Lie groups
MSC 22 · Topological groups, Lie groups
3,732 declarations (2,963 theorems, 769 definitions) across 58 files. 0 of the 6 famous theorems listed for this area are in Mathlib (0%). 4 open conjectures here are stated in Lean.
Files are assigned to areas by a language model reading each file's documentation. Report a file that is in the wrong area.
Subareas6
- 22A Topological and differentiable algebraic systems 2,895
- 22E Lie groups 254
- 22C Compact groups 237
- 22D Locally compact groups and their algebras 218
- 22F Noncompact transformation groups 105
- 22B Locally compact abelian groups (LCA groups) 23
Famous theorems0 of 6
From the 1000+ theorems project, which classifies each theorem by MSC area.
Open conjectures stated in Lean4
Statements without proofs, collected by the Formal Conjectures project.
- Hilbert5.hilbert_smith_conjectureHilbert Problems
- Hilbert5.hilbert_smith_padic_formulationHilbert Problems
- Kourovka.1.74.kourovka_1_74Kourovka Notebook
Structures defined here24
Typeclasses defined in this area's files, most assumed first.
- IsTopologicalAddGroup 2,116
- ContinuousSMul 1,273
- ContinuousAdd 1,187
- IsTopologicalGroup 666
- IsTopologicalSemiring 539
- IsTopologicalRing 514
- IsUniformAddGroup 501
- ContinuousMul 458
- MeasureTheory.Measure.IsAddHaarMeasure 304
- SeparatelyContinuousMul 173
- IsSemitopologicalRing 157
- IsUniformGroup 152
- ContinuousNeg 136
- IsSemitopologicalSemiring 134
- IsTopologicalAddTorsor 117
- SeparatelyContinuousAdd 117
- ContinuousInv 105
- MeasureTheory.Measure.IsHaarMeasure 99
- ContinuousVAdd 69
- ContinuousSub 57
- MeasureTheory.Measure.IsNegInvariant 45
- LieAddGroup 40
- LieGroup 40
- ContinuousDiv 30
Files58
Largest first. The code after each file is its assigned subarea.
- Mathlib.Topology.Algebra.Group.Basic
Topological groups
22A · 420
- Mathlib.Topology.Algebra.Monoid
Theory of topological monoids
22A · 270
- Mathlib.Topology.Algebra.ContinuousMonoidHom
Continuous Monoid Homs
22A · 257
- Mathlib.MeasureTheory.Group.Measure
Measures on Groups
22D · 205
- Mathlib.Topology.Algebra.OpenSubgroup
Open subgroups of a topological group
22A · 200
- Mathlib.Analysis.SpecialFunctions.Trigonometric.Angle
The type of angles
22A · 187
- Mathlib.RepresentationTheory.Continuous.Basic
Continuous representations
22A · 161
- Mathlib.Topology.Algebra.IsUniformGroup.Basic
Uniform structure on topological groups
22A · 145
- Mathlib.Topology.Algebra.IsUniformGroup.Defs
Uniform structure on topological groups
22A · 142
- Mathlib.Topology.Algebra.Category.ProfiniteGrp.Basic
Category of Profinite Groups
22C · 139
- Mathlib.Topology.Algebra.Ring.Basic
Topological (semi)rings
22A · 115
- Mathlib.Topology.Algebra.FilterBasis
Group and ring filter bases
22A · 101