Theorems · Theorem · algebraic geometry
AlgebraicGeometry.IsAffineOpen.primeIdealOf_isMaximal_of_isClosed
∀ {X : AlgebraicGeometry.Scheme} {U : X.Opens} (hU : AlgebraicGeometry.IsAffineOpen U) (x : ↥U),
IsClosed {↑x} → (hU.primeIdealOf x).asIdeal.IsMaximalIf a point x : U is a closed point, then its corresponding prime ideal is maximal.
- Defined in
- Mathlib.AlgebraicGeometry.AffineScheme
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 146 from the axioms · uses propext, Classical.choice, Quot.sound
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