IsGenericPoint.eq

∀ {α : Type u_1} [inst : TopologicalSpace α] {x y : α} {S : Set α} [T0Space α],
  IsGenericPoint x S → IsGenericPoint y S → x = y

In a T₀ space, each set has at most one generic point.

Defined in: Mathlib.Topology.Sober
Cited by: 4 results in Mathlib
Foundations: Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace T0Space

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