Theorems · Theorem · Lie groups
AddSubgroup.discreteTopology_iff_of_finiteIndex
∀ {G : Type u_1} [inst : AddGroup G] [inst_1 : TopologicalSpace G] [IsTopologicalAddGroup G] [T2Space G]
{H : AddSubgroup G} [H.FiniteIndex], DiscreteTopology ↥H ↔ DiscreteTopology G- Cited by
- 1 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
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
- SetLike.coeproof · cited by 8,199
- Filterproof · cited by 8,121
- nhdsproof · cited by 5,554
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- IsOpenproof · cited by 2,400
- IsTopologicalAddGroupstatement and proof · cited by 1,394
- T2Spacestatement and proof · cited by 1,351
- Filter.mapproof · cited by 819
- DiscreteTopologystatement and proof · cited by 373
- AddSubgroup.FiniteIndexstatement and proof · cited by 66
Cited by1
Results whose statement or proof uses this declaration.
- AddSubgroup.discreteTopology_iff_of_isFiniteRelIndexproof · cited by 1