Theorems · Theorem · algebraic geometry
AlgebraicGeometry.IsLocalIso.le_of_isZariskiLocalAtSource
∀ (P : CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme) [P.ContainsIdentities] [AlgebraicGeometry.IsZariskiLocalAtSource P], @AlgebraicGeometry.IsLocalIso ≤ P
IsLocalIso is weaker than every source-Zariski-local property containing identities.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 145 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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.compproof · cited by 17,999
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.PreZeroHypercover.I₀proof · cited by 763
- CategoryTheory.PreZeroHypercover.Xproof · cited by 649
- CategoryTheory.PreZeroHypercover.fproof · cited by 542
- AlgebraicGeometry.IsOpenImmersionproof · cited by 476
- CategoryTheory.Precoverage.ZeroHypercover.toPreZeroHypercoverproof · cited by 469
- AlgebraicGeometry.Scheme.precoverageproof · cited by 336
- CategoryTheory.MorphismProperty.ContainsIdentitiesstatement and proof · cited by 94
- AlgebraicGeometry.Scheme.Coverproof · cited by 88
Cited by2
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.HasRingHomProperty.descendsAlong_flatproof · cited by 0
- AlgebraicGeometry.IsLocalIso.eq_iInfproof · cited by 0