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Theorems · Theorem · general topology

TopologicalSpace.isSeparable_union

∀ {α : Type u} [t : TopologicalSpace α] {s t_1 : Set α},
  TopologicalSpace.IsSeparable (s ∪ t_1) ↔ TopologicalSpace.IsSeparable s ∧ TopologicalSpace.IsSeparable t_1
Defined in
Mathlib.Topology.Bases
Cited by
1 results in Mathlib
Foundations
Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpace
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Around this declaration

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TopologicalSpace.IsSeparable.union · cited by 3IsSeparable.unionSet · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceTopologicalSpace.IsSeparable · cited by 51TopologicalSpace.IsSepara…Set.union_eq_iUnion · cited by 28Set.union_eq_iUnionTopologicalSpace.isSeparable_…CITED BYCITES

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