Theorems · Theorem · Lie groups
Subgroup.properlyDiscontinuousSMul_of_le
∀ {Γ : Type u_1} {α : Type u_2} [inst : Group Γ] [inst_1 : TopologicalSpace α] [inst_2 : SMul Γ α] {G H : Subgroup Γ},
ProperlyDiscontinuousSMul (↥G) α → H ≤ G → ProperlyDiscontinuousSMul (↥H) α- Cited by
- 1 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GroupTopologicalSpaceSMul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Groupstatement and proof · cited by 6,238
- Set.ofPredproof · cited by 6,101
- Subgroupstatement and proof · cited by 3,593
- Set.Nonemptyproof · cited by 2,627
- IsCompactproof · cited by 1,282
- Set.Finite.subsetproof · cited by 285
- ProperlyDiscontinuousSMulstatement and proof · cited by 18
- Subgroup.properlyDiscontinuousSMul_iffproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Subgroup.properlyDiscontinuousSMul_iff_of_isFiniteRelIndexproof · cited by 1