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Theorems · Theorem · general topology

IsGenericPoint.inseparable

∀ {α : Type u_1} [inst : TopologicalSpace α] {x y : α} {S : Set α},
  IsGenericPoint x S → IsGenericPoint y S → Inseparable x y
Defined in
Mathlib.Topology.Sober
Cited by
1 results in Mathlib
Foundations
Depth 80 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.

IsGenericPoint.eq · cited by 4IsGenericPoint.eqSet · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceInseparable · cited by 160InseparableIsGenericPoint · cited by 26IsGenericPointSpecializes.antisymm · cited by 9Specializes.antisymmIsGenericPoint.specializes · cited by 5IsGenericPoint.specializesIsGenericPoint.mem · cited by 5IsGenericPoint.memIsGenericPoint.inseparableCITED BYCITES

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.