Theorems · Theorem · algebraic geometry
AlgebraicGeometry.HasAffineProperty.isZariskiLocalAtSource
∀ {P : CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme} {Q : AlgebraicGeometry.AffineTargetMorphismProperty}
[AlgebraicGeometry.HasAffineProperty P Q],
(∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y) [inst : AlgebraicGeometry.IsAffine Y] (𝒰 : X.OpenCover),
Q f ↔ ∀ (i : 𝒰.I₀), Q (CategoryTheory.CategoryStruct.comp (𝒰.f i) f)) →
AlgebraicGeometry.IsZariskiLocalAtSource P- Cited by
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- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites34
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