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Theorems · Theorem · general topology

SeparatedNhds.mono

∀ {X : Type u_1} [inst : TopologicalSpace X] {s₁ s₂ t₁ t₂ : Set X},
  SeparatedNhds s₂ t₂ → s₁ ⊆ s₂ → t₁ ⊆ t₂ → SeparatedNhds s₁ t₁
Defined in
Mathlib.Topology.Separation.SeparatedNhds
Cited by
2 results in Mathlib
Foundations
Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpace
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Around this declaration

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Topology.IsClosedEmbedding.normalSpace · cited by 2IsClosedEmbedding.normalS…IsCompact.binary_compact_cover · cited by 1IsCompact.binary_compact_…Set · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceLE.le.trans · cited by 3151le.transIsOpen · cited by 2400IsOpenDisjoint · cited by 2201DisjointSeparatedNhds · cited by 33SeparatedNhdsSeparatedNhds.monoCITED BYCITES

Cites6

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Cited by2

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