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Theorems · Theorem · general topology

Equiv.locallyFinite_comp_iff

∀ {ι : Type u_1} {ι' : Type u_2} {X : Type u_4} [inst : TopologicalSpace X] {f : ι → Set X} (e : ι' ≃ ι),
  LocallyFinite (f ∘ ⇑e) ↔ LocallyFinite f
Defined in
Mathlib.Topology.LocallyFinite
Cited by
1 results in Mathlib
Foundations
Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

locallyFinite_option · cited by 1locallyFinite_optionDFunLike.coe · cited by 62936DFunLike.coeSet · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceEquiv · cited by 8337EquivEquiv.symm · cited by 3681Equiv.symmEquiv.injective · cited by 464Equiv.injectiveEquiv.apply_symm_apply · cited by 346Equiv.apply_symm_applyLocallyFinite · cited by 141LocallyFiniteLocallyFinite.comp_injective · cited by 8LocallyFinite.comp_inject…Equiv.locallyFinite_comp_iffCITED BYCITES

Cites9

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Cited by1

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