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Theorems · Theorem · general topology

hasCompactMulSupport_iff_eventuallyEq

∀ {α : Type u_2} {β : Type u_4} [inst : TopologicalSpace α] [inst_1 : One β] {f : α → β},
  HasCompactMulSupport f ↔ f =ᶠ[Filter.coclosedCompact α] 1
Defined in
Mathlib.Topology.Algebra.Support
Cited by
1 results in Mathlib
Foundations
Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceOne
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Around this declaration

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

HasCompactMulSupport.comp₂_left · cited by 1HasCompactMulSupport.comp…TopologicalSpace · cited by 24529TopologicalSpaceFilter.EventuallyEq · cited by 1912Filter.EventuallyEqHasCompactMulSupport · cited by 43HasCompactMulSupportFilter.coclosedCompact · cited by 20Filter.coclosedCompactFilter.mem_coclosedCompact_iff · cited by 3Filter.mem_coclosedCompac…hasCompactMulSupport_iff_even…CITED BYCITES

Cites5

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Cited by1

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