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Theorems · Theorem · general topology

SeparatedNhds.union_left

∀ {X : Type u_1} [inst : TopologicalSpace X] {s t u : Set X},
  SeparatedNhds s u → SeparatedNhds t u → SeparatedNhds (s ∪ t) u
Defined in
Mathlib.Topology.Separation.SeparatedNhds
Cited by
2 results in Mathlib
Foundations
Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpace
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

SeparatedNhds.of_isClosed_isCompact_closure_compl_isClosed · cited by 1SeparatedNhds.of_isClosed…SeparatedNhds.union_right · cited by 0SeparatedNhds.union_rightSet · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceDisjoint · cited by 2201DisjointnhdsSet · cited by 267nhdsSetSeparatedNhds · cited by 33SeparatedNhdsnhdsSet_union · cited by 8nhdsSet_unionSeparatedNhds.union_leftCITED BYCITES

Cites6

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Cited by2

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