Scott — Mathlib

English

The set of irreducible components of a Noetherian space is finite.

Русский

Множество ирредуцируемых компонент в Noetherian-пространстве конечно.

LaTeX

$$$(\operatorname{irreducibleComponents}(X)).\text{Finite}.$$$

Lean4

/-- A Scott topological space is defined on preorders
such that their open sets, seen as a function `α → Prop`,
preserves the joins of ω-chains. -/
@[deprecated WithScott (since := "2025-07-02")]
abbrev Scott (α : Type u) :=
  α

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