Theorems · Theorem · algebraic geometry
AlgebraicGeometry.essImage_Spec
∀ {X : AlgebraicGeometry.Scheme}, AlgebraicGeometry.Scheme.Spec.essImage X ↔ AlgebraicGeometry.IsAffine X- Defined in
- Mathlib.AlgebraicGeometry.AffineScheme
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 142 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Oppositestatement · cited by 8,081
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CommRingCatstatement · cited by 2,333
- AlgebraicGeometry.IsAffinestatement and proof · cited by 159
- CategoryTheory.Functor.essImagestatement and proof · cited by 82
- AlgebraicGeometry.Scheme.Specstatement and proof · cited by 57
- AlgebraicGeometry.ΓSpec.adjunctionproof · cited by 16
- CategoryTheory.Adjunction.mem_essImage_of_unit_isIsoproof · cited by 2
- CategoryTheory.Functor.essImage.unit_isIsoproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.IsAffine.of_isIsoproof · cited by 11