Theorems · Definition · Lie groups
ClosedAddSubgroup.casesOn
{G : Type u} →
[inst : AddGroup G] →
[inst_1 : TopologicalSpace G] →
{motive : ClosedAddSubgroup G → Sort u_1} →
(t : ClosedAddSubgroup G) →
((toAddSubgroup : AddSubgroup G) →
(isClosed' : IsClosed toAddSubgroup.carrier) →
motive { toAddSubgroup := toAddSubgroup, isClosed' := isClosed' }) →
motive t- Cited by
- 0 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
- Assumes
- AddGroupTopologicalSpace
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
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- IsClosedstatement and proof · cited by 1,639
- AddSubmonoid.toAddSubsemigroupstatement and proof · cited by 198
- AddSubsemigroup.carrierstatement and proof · cited by 198
- AddSubgroup.toAddSubmonoidstatement and proof · cited by 91
- ClosedAddSubgroupstatement and proof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- ClosedAddSubgroup.noConfusionproof · cited by 0
- ClosedAddSubgroup.noConfusionTypeproof · cited by 0