Theorems · Inductive type · manifolds
ProperSMul
(G : Type u_1) → (X : Type u_2) → [TopologicalSpace G] → [TopologicalSpace X] → [inst : Group G] → [MulAction G X] → Prop
Proper group action in the sense of Bourbaki:
the map G × X → X × X is a proper map (see IsProperMap).
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement · cited by 24,529
- Groupstatement · cited by 6,238
- MulActionstatement · cited by 1,294
Cited by16
Results whose statement or proof uses this declaration.
- ProperSMul.isProperMap_smul_pairstatement and proof · cited by 4
- properSMul_iffstatement and proof · cited by 2
- ProperSMul.isCompact_setOfPred_inter_nonemptystatement and proof · cited by 2
- properSMul_iff_continuousSMul_ultrafilter_tendstostatement and proof · cited by 1
- MulAction.properSMul_iff_isCompact_setOfPred_inter_nonemptystatement and proof · cited by 1
- ProperSMul.casesOnstatement and proof · cited by 1
- ProperSMul.isProperMap_smul_pair_setstatement and proof · cited by 1
- properSMul_iff_continuousSMul_ultrafilter_tendsto_t2statement · cited by 0
- properSMul_of_isClosedEmbeddingstatement and proof · cited by 0
- t2Space_of_properSMul_of_t1Groupstatement and proof · cited by 0
- MulAction.properSMul_iff_isCompact_setOf_inter_nonemptystatement · cited by 0
- MulAction.properSMul_of_proper_orbitMapstatement · cited by 0