Theorems · Theorem · Lie groups
AddSubgroup.properlyDiscontinuousVAdd_iff_of_isFiniteRelIndex
∀ {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},
G ≤ H → ∀ [G.IsFiniteRelIndex H], ProperlyDiscontinuousVAdd (↥G) α ↔ ProperlyDiscontinuousVAdd (↥H) α- Cited by
- 1 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- AddActionstatement and proof · cited by 820
- ContinuousConstVAddstatement and proof · cited by 97
- ProperlyDiscontinuousVAddstatement and proof · cited by 18
- AddSubgroup.IsFiniteRelIndexstatement and proof · cited by 17
- AddSubgroup.properlyDiscontinuousVAdd_of_leproof · cited by 1
- ProperlyDiscontinuousVAdd.ofFiniteRelIndexproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- AddSubgroup.Commensurable.properlyDiscontinuousVAdd_iffproof · cited by 0