Theorems · Inductive type · algebraic geometry
AlgebraicGeometry.IsLocalIso
{X Y : AlgebraicGeometry.Scheme} → (X ⟶ Y) → PropA local isomorphism of schemes is a morphism that is (Zariski-)source-locally an open immersion.
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- AlgebraicGeometry.Schemestatement · cited by 2,540
Cited by11
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.IsLocalIso.le_of_isZariskiLocalAtSourcestatement and proof · cited by 2
- AlgebraicGeometry.IsZariskiLocalAtTarget.descendsAlong_inf_quasiCompactstatement and proof · cited by 2
- AlgebraicGeometry.IsLocalIso.casesOnstatement and proof · cited by 1
- AlgebraicGeometry.IsLocalIso.eq_sourceLocalClosure_isOpenImmersionstatement · cited by 1
- AlgebraicGeometry.isLocalIso_iffstatement and proof · cited by 1
- AlgebraicGeometry.HasRingHomProperty.descendsAlongstatement and proof · cited by 1
- AlgebraicGeometry.HasRingHomProperty.descendsAlong_flatproof · cited by 0
- AlgebraicGeometry.HasAffineProperty.descendsAlong_of_affineAndstatement and proof · cited by 0
- AlgebraicGeometry.IsLocalIso.eq_iInfstatement and proof · cited by 0
- AlgebraicGeometry.IsLocalIso.exists_isOpenImmersionstatement and proof · cited by 0
- AlgebraicGeometry.IsLocalIso.recOnstatement and proof · cited by 0