Theorems · Theorem · algebraic geometry
AlgebraicGeometry.IsAffineOpen.fromSpec_top
∀ {X : AlgebraicGeometry.Scheme} [inst : AlgebraicGeometry.IsAffine X], ⋯.fromSpec = X.isoSpec.inv- Defined in
- Mathlib.AlgebraicGeometry.AffineScheme
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 146 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AlgebraicGeometry.IsAffine
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites29
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.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- Top.topstatement and proof · cited by 9,680
- Oppositestatement · cited by 8,081
- CategoryTheory.Iso.invstatement and proof · cited by 6,514
- CategoryTheory.Category.assocproof · cited by 6,433
- TopCat.carrierstatement · cited by 3,184
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CommRingCatstatement · cited by 2,333
- CategoryTheory.Category.comp_idproof · cited by 2,119
- TopologicalSpace.Opensstatement · cited by 2,040
Cited by3
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Spec.fromSpecStalk_eqproof · cited by 4
- AlgebraicGeometry.Scheme.Spec_stalkClosedPointTo_fromSpecStalkproof · cited by 3
- AlgebraicGeometry.Scheme.Hom.normalization.hom_extproof · cited by 0