Theorems · Theorem · Lie groups
AddSubgroup.discreteTopology_iff_of_isFiniteRelIndex
∀ {G : Type u_1} [inst : AddGroup G] [inst_1 : TopologicalSpace G] [IsTopologicalAddGroup G] [T2Space G]
{H K : AddSubgroup G}, H ≤ K → ∀ [H.IsFiniteRelIndex K], DiscreteTopology ↥H ↔ DiscreteTopology ↥K- Cited by
- 1 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- IsTopologicalAddGroupstatement and proof · cited by 1,394
- T2Spacestatement and proof · cited by 1,351
- DiscreteTopologystatement and proof · cited by 373
- AddSubgroup.addSubgroupOfproof · cited by 87
- AddSubgroup.FiniteIndexproof · cited by 66
- AddSubgroup.IsFiniteRelIndexstatement and proof · cited by 17
- ContinuousAddEquiv.toHomeomorphproof · cited by 8
- Homeomorph.discreteTopology_iffproof · cited by 7
- AddSubgroup.addSubgroupOfContinuousAddEquivOfLeproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- AddSubgroup.Commensurable.discreteTopology_iffproof · cited by 0