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Theorems · Theorem · general topology

derivedSet_subset_closure

∀ {X : Type u_1} [inst : TopologicalSpace X] (A : Set X), derivedSet A ⊆ closure A
Defined in
Mathlib.Topology.DerivedSet
Cited by
1 results in Mathlib
Foundations
Depth 74 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.

isClosed_iff_derivedSet_subset · cited by 3isClosed_iff_derivedSet_s…Set · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceclosure · cited by 1254closurederivedSet · cited by 16derivedSetmem_closure_iff_clusterPt · cited by 16mem_closure_iff_clusterPtAccPt.clusterPt · cited by 6AccPt.clusterPtderivedSet_subset_closureCITED BYCITES

Cites6

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Cited by1

Results whose statement or proof uses this declaration.