Theorems · Theorem · algebraic topology
isQuotientCoveringMap_quotientMk_of_properlyDiscontinuousSMul
∀ {E : Type u_1} [inst : TopologicalSpace E] {G : Type u_3} [inst_1 : Group G] [inst_2 : MulAction G E]
[ContinuousConstSMul G E] [ProperlyDiscontinuousSMul G E] [LocallyCompactSpace E] [T2Space E] [IsCancelSMul G E],
IsQuotientCoveringMap (Quotient.mk (MulAction.orbitRel G E)) G- Defined in
- Mathlib.Topology.Covering.Quotient
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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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
- Groupstatement and proof · cited by 6,238
- T2Spacestatement and proof · cited by 1,351
- MulActionstatement and proof · cited by 1,294
- ContinuousConstSMulstatement and proof · cited by 832
- LocallyCompactSpacestatement and proof · cited by 324
- MulAction.orbitRelstatement · cited by 114
- IsQuotientCoveringMapstatement · cited by 53
- Quotient.eq''proof · cited by 44
- ProperlyDiscontinuousSMulstatement and proof · cited by 18
- isQuotientMap_quotient_mk'proof · cited by 16
- IsCancelSMulstatement and proof · cited by 14
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