Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.zeroLocus_mul
∀ (X : AlgebraicGeometry.Scheme) {U : X.Opens} (I J : Ideal ↑(X.presheaf.obj (Opposite.op U))),
X.zeroLocus ↑(I * J) = X.zeroLocus ↑I ∪ X.zeroLocus ↑J- Defined in
- Mathlib.AlgebraicGeometry.Scheme
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- SetLike.coestatement and proof · cited by 8,199
- Oppositestatement · cited by 8,081
- Idealstatement and proof · cited by 4,748
- TopCat.carrierstatement and proof · cited by 3,184
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CommRingCatstatement · cited by 2,333
- TopologicalSpace.Opensstatement · cited by 2,040
- AlgebraicGeometry.PresheafedSpace.carrierstatement and proof · cited by 2,020
- AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement and proof · cited by 1,988
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpacestatement and proof · cited by 1,892
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