Theorems · Theorem · Lie groups

ProperlyDiscontinuousVAdd.ofFiniteRelIndex

∀ {Γ : Type u_1} {α : Type u_2} [inst : AddGroup Γ] [inst_1 : TopologicalSpace α] [inst_2 : AddAction Γ α]
  [ContinuousConstVAdd Γ α] (G H : AddSubgroup Γ) [hH : ProperlyDiscontinuousVAdd (↥H) α] [H.IsFiniteRelIndex G],
  ProperlyDiscontinuousVAdd (↥G) α

Defined in: Mathlib.Topology.Algebra.Group.DiscontinuousSubgroup
Cited by: 1 results in Mathlib
Foundations: Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: AddGroup TopologicalSpace AddAction ContinuousConstVAdd ProperlyDiscontinuousVAdd AddSubgroup.IsFiniteRelIndex

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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Setproof · cited by 53,352
TopologicalSpacestatement and proof · cited by 24,529
SetLike.coeproof · cited by 8,199
Fintypeproof · cited by 7,736
Set.Elemproof · cited by 7,166
Set.ofPredproof · cited by 6,101
Set.imageproof · cited by 5,609
AddGroupstatement and proof · cited by 4,410
AddSubgroupstatement and proof · cited by 3,232
Set.Nonemptyproof · cited by 2,627
Set.iUnionproof · cited by 2,483
HasQuotient.Quotientproof · cited by 2,301

Cited by1

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AddSubgroup.properlyDiscontinuousVAdd_iff_of_isFiniteRelIndexproof · cited by 1