Theorems · Theorem · algebraic geometry
AlgebraicGeometry.AffineSpace.map_toSpecMvPoly
∀ {n : Type u} {S T : AlgebraicGeometry.Scheme} (f : S ⟶ T),
CategoryTheory.CategoryStruct.comp (AlgebraicGeometry.AffineSpace.map n f)
(AlgebraicGeometry.AffineSpace.toSpecMvPoly n T) =
AlgebraicGeometry.AffineSpace.toSpecMvPoly n S- Defined in
- Mathlib.AlgebraicGeometry.AffineSpace
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
- Top.topproof · cited by 9,680
- Finsuppstatement · cited by 5,255
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- MvPolynomialstatement · cited by 2,140
- AlgebraicGeometry.SheafedSpace.toPresheafedSpaceproof · cited by 1,988
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpaceproof · cited by 1,892
- AlgebraicGeometry.Scheme.toLocallyRingedSpaceproof · cited by 1,734
Cited by2
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.AffineSpace.isPullback_mapproof · cited by 2
- AlgebraicGeometry.AffineSpace.map_toSpecMvPoly_assocproof · cited by 0