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Theorems · Theorem · general topology

locallyFinite_option

∀ {ι : Type u_1} {X : Type u_4} [inst : TopologicalSpace X] {f : Option ι → Set X},
  LocallyFinite f ↔ LocallyFinite (f ∘ some)
Defined in
Mathlib.Topology.LocallyFinite
Cited by
1 results in Mathlib
Foundations
Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpace
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Around this declaration

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

LocallyFinite.option_elim' · cited by 0LocallyFinite.option_elim'DFunLike.coe · cited by 62936DFunLike.coeSet · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceEquiv.symm · cited by 3681Equiv.symmLocallyFinite · cited by 141LocallyFiniteEquiv.optionEquivSumPUnit · cited by 12Equiv.optionEquivSumPUnitlocallyFinite_sum · cited by 2locallyFinite_sumEquiv.locallyFinite_comp_iff · cited by 1Equiv.locallyFinite_comp_…locallyFinite_optionCITED BYCITES

Cites8

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Cited by1

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