Theorems · Theorem · Lie groups
AddSubgroup.Commensurable.discreteTopology_iff
∀ {G : Type u_2} [inst : AddGroup G] [inst_1 : TopologicalSpace G] [IsTopologicalAddGroup G] [T2Space G]
{H K : AddSubgroup G}, H.Commensurable K → (DiscreteTopology ↥H ↔ DiscreteTopology ↥K)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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 · cited by 373
- inf_le_leftproof · cited by 286
- inf_le_rightproof · cited by 238
- AddSubgroup.Commensurablestatement and proof · cited by 8
- AddSubgroup.discreteTopology_iff_of_isFiniteRelIndexproof · cited by 1
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