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Theorems · Theorem · manifolds

properSMul_iff

∀ (G : Type u_1) (X : Type u_2) [inst : TopologicalSpace G] [inst_1 : TopologicalSpace X] [inst_2 : Group G]
  [inst_3 : MulAction G X], ProperSMul G X ↔ IsProperMap fun gx => (gx.1 • gx.2, gx.2)
Defined in
Mathlib.Topology.Algebra.ProperAction.Basic
Cited by
2 results in Mathlib
Foundations
Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceTopologicalSpaceGroupMulAction
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

properSMul_iff_continuousSMul_ultrafilter_tendsto · cited by 1properSMul_iff_continuous…t2Space_of_properSMul_of_t1Group · cited by 0t2Space_of_properSMul_of_…TopologicalSpace · cited by 24529TopologicalSpaceGroup · cited by 6238GroupMulAction · cited by 1294MulActionIsProperMap · cited by 66IsProperMapProperSMul · cited by 14ProperSMulProperSMul.casesOn · cited by 1ProperSMul.casesOnproperSMul_iffCITED BYCITES

Cites6

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Cited by2

Results whose statement or proof uses this declaration.