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Theorems · Theorem · general topology

HasCompactMulSupport.comp_smul

∀ {α : Type u_2} {G₀ : Type u_4} [inst : TopologicalSpace α] [inst_1 : GroupWithZero G₀] [inst_2 : MulAction G₀ α]
  [ContinuousConstSMul G₀ α] {β : Type u_5} [inst_4 : One β] {f : α → β},
  HasCompactMulSupport f → ∀ {c : G₀}, c ≠ 0 → HasCompactMulSupport fun x => f (c • x)
Defined in
Mathlib.Topology.Algebra.ConstMulAction
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Foundations
Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceGroupWithZeroMulActionContinuousConstSMulOne
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TopologicalSpace · cited by 24529TopologicalSpaceMulAction · cited by 1294MulActionContinuousConstSMul · cited by 832ContinuousConstSMulGroupWithZero · cited by 691GroupWithZeroHasCompactMulSupport · cited by 43HasCompactMulSupportHomeomorph.smulOfNeZero · cited by 11Homeomorph.smulOfNeZeroHasCompactMulSupport.comp_homeomorph · cited by 1HasCompactMulSupport.comp…HasCompactMulSupport.comp_smulCITED BYCITES

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