Theorems · Theorem · general topology
closure_eq_self_union_derivedSet
∀ {X : Type u_1} [inst : TopologicalSpace X] (A : Set X), closure A = A ∪ derivedSet A- Defined in
- Mathlib.Topology.DerivedSet
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Set.ofPredproof · cited by 6,101
- Set.extproof · cited by 2,266
- closurestatement · cited by 1,254
- Filter.principalproof · cited by 740
- AccPtproof · cited by 75
- derivedSetstatement and proof · cited by 16
- closure_eq_cluster_ptsproof · cited by 5
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