Theorems · Theorem · general topology
derivedSet_union
∀ {X : Type u_1} [inst : TopologicalSpace X] (A B : Set X), derivedSet (A ∪ B) = derivedSet A ∪ derivedSet B- Defined in
- Mathlib.Topology.DerivedSet
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Filter.principalproof · cited by 740
- AccPtproof · cited by 75
- derivedSetstatement · cited by 16
Cited by1
Results whose statement or proof uses this declaration.
- IsPreconnected.inter_derivedSet_nonemptyproof · cited by 0