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Theorems · Theorem · general topology

Specializes.inseparable

∀ {X : Type u_1} [inst : TopologicalSpace X] [R0Space X] {x y : X}, x ⤳ y → Inseparable x y

In an R₀ space, Specializes implies Inseparable.

Defined in
Mathlib.Topology.Separation.Basic
Cited by
1 results in Mathlib
Foundations
Depth 23 from the axioms · uses propext, Quot.sound
Assumes
TopologicalSpaceR0Space
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Around this declaration

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

r1Space_iff_inseparable_or_disjoint_nhds · cited by 1r1Space_iff_inseparable_o…TopologicalSpace · cited by 24529TopologicalSpaceSpecializes · cited by 176SpecializesInseparable · cited by 160InseparableR0Space · cited by 22R0Spacespecializes_iff_inseparable · cited by 5specializes_iff_inseparab…Specializes.inseparableCITED BYCITES

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Cited by1

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