Theorems · Theorem · algebraic geometry
AlgebraicGeometry.IsZariskiLocalAtSource.isZariskiLocalAtTarget
∀ {P : CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme} [AlgebraicGeometry.IsZariskiLocalAtSource P]
[P.IsMultiplicative],
(∀ {X Y Z : AlgebraicGeometry.Scheme} (f : X ⟶ Y) (g : Y ⟶ Z) [AlgebraicGeometry.IsOpenImmersion g],
P (CategoryTheory.CategoryStruct.comp f g) → P f) →
AlgebraicGeometry.IsZariskiLocalAtTarget P- Cited by
- 0 results in Mathlib
- Foundations
- Depth 168 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites26
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.Limits.pullbackproof · cited by 864
- CategoryTheory.PreZeroHypercover.I₀proof · cited by 763
- CategoryTheory.PreZeroHypercover.Xproof · cited by 649
- CategoryTheory.Limits.pullback.fstproof · cited by 639
- CategoryTheory.Limits.pullback.sndproof · cited by 637
- CategoryTheory.PreZeroHypercover.fproof · cited by 542
- AlgebraicGeometry.IsOpenImmersionstatement and proof · cited by 476
- CategoryTheory.Precoverage.ZeroHypercover.toPreZeroHypercoverproof · cited by 469
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