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Theorems · Theorem · general topology

TopologicalSpace.separableSpace_sum_iff

∀ {α : Type u} {β : Type u_1} [t : TopologicalSpace α] [inst : TopologicalSpace β],
  TopologicalSpace.SeparableSpace (α ⊕ β) ↔ TopologicalSpace.SeparableSpace α ∧ TopologicalSpace.SeparableSpace β
Defined in
Mathlib.Topology.Bases
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Foundations
Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceTopologicalSpace
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TopologicalSpace · cited by 24529TopologicalSpaceTopologicalSpace.SeparableSpace · cited by 109TopologicalSpace.Separabl…Topology.IsOpenEmbedding.inl · cited by 11IsOpenEmbedding.inlTopology.IsOpenEmbedding.inr · cited by 11IsOpenEmbedding.inrTopology.IsOpenEmbedding.separableSpace · cited by 1IsOpenEmbedding.separable…TopologicalSpace.separableSpa…CITED BYCITES

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