Theorems · Theorem · general topology
IsOpen.not_inseparable
∀ {X : Type u_1} [inst : TopologicalSpace X] {x y : X} {s : Set X}, IsOpen s → x ∈ s → y ∉ s → ¬Inseparable x y- Defined in
- Mathlib.Topology.Inseparable
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- IsOpenstatement and proof · cited by 2,400
- Inseparablestatement and proof · cited by 160
- Inseparable.mem_open_iffproof · cited by 11
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