Theorems · Definition · Lie groups
OpenSubgroup.casesOn
{G : Type u_1} →
[inst : Group G] →
[inst_1 : TopologicalSpace G] →
{motive : OpenSubgroup G → Sort u} →
(t : OpenSubgroup G) →
((toSubgroup : Subgroup G) →
(isOpen' : IsOpen toSubgroup.carrier) → motive { toSubgroup := toSubgroup, isOpen' := isOpen' }) →
motive t- Defined in
- Mathlib.Topology.Algebra.OpenSubgroup
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
- Assumes
- GroupTopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- IsOpenstatement and proof · cited by 2,400
- Subsemigroup.carrierstatement and proof · cited by 160
- Submonoid.toSubsemigroupstatement and proof · cited by 159
- Subgroup.toSubmonoidstatement and proof · cited by 114
- OpenSubgroupstatement and proof · cited by 47
Cited by2
Results whose statement or proof uses this declaration.
- OpenSubgroup.noConfusionproof · cited by 0
- OpenSubgroup.noConfusionTypeproof · cited by 0