Theorems · Theorem · Lie groups
AddSubgroup.Commensurable.properlyDiscontinuousVAdd_iff
∀ {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.Commensurable H → (ProperlyDiscontinuousVAdd (↥G) α ↔ ProperlyDiscontinuousVAdd (↥H) α)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- AddActionstatement and proof · cited by 820
- inf_le_leftproof · cited by 286
- inf_le_rightproof · cited by 238
- ContinuousConstVAddstatement and proof · cited by 97
- ProperlyDiscontinuousVAddstatement · cited by 18
- AddSubgroup.IsFiniteRelIndexproof · cited by 17
- AddSubgroup.Commensurablestatement and proof · cited by 8
- AddSubgroup.inf_relIndex_rightproof · cited by 5
- AddSubgroup.properlyDiscontinuousVAdd_iff_of_isFiniteRelIndexproof · cited by 1
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