Theorems · Theorem · Lie groups
AddSubgroup.properlyDiscontinuousVAdd_of_le
∀ {Γ : Type u_1} {α : Type u_2} [inst : AddGroup Γ] [inst_1 : TopologicalSpace α] [inst_2 : VAdd Γ α]
{G H : AddSubgroup Γ}, ProperlyDiscontinuousVAdd (↥G) α → H ≤ G → ProperlyDiscontinuousVAdd (↥H) α- Cited by
- 1 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroupTopologicalSpaceVAdd
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- Set.ofPredproof · cited by 6,101
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- Set.Nonemptyproof · cited by 2,627
- HVAdd.hVAddproof · cited by 1,820
- IsCompactproof · cited by 1,282
- VAddstatement and proof · cited by 616
- Set.Finite.subsetproof · cited by 285
- ProperlyDiscontinuousVAddstatement and proof · cited by 18
- AddSubgroup.properlyDiscontinuousVAdd_iffproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- AddSubgroup.properlyDiscontinuousVAdd_iff_of_isFiniteRelIndexproof · cited by 1