Theorems · Theorem · algebraic geometry
AlgebraicGeometry.IsAffine.iff_of_isIso
∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y) [CategoryTheory.IsIso f],
AlgebraicGeometry.IsAffine X ↔ AlgebraicGeometry.IsAffine Y- Defined in
- Mathlib.AlgebraicGeometry.AffineScheme
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 144 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.IsIso
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CategoryTheory.IsIsostatement and proof · cited by 1,156
- CategoryTheory.invproof · cited by 467
- AlgebraicGeometry.IsAffinestatement and proof · cited by 159
- AlgebraicGeometry.IsAffine.of_isIsoproof · cited by 11
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.Hom.isAffineOpen_iff_of_isOpenImmersionproof · cited by 7