Theorems · Definition · algebraic geometry
AlgebraicGeometry.Scheme.Hom.copyBase
{X Y : AlgebraicGeometry.Scheme} → (f : X.Hom Y) → (g : ↥X → ↥Y) → ⇑f = g → (X ⟶ Y)Copies a morphism with a different underlying map
- Defined in
- Mathlib.AlgebraicGeometry.Scheme
- Cited by
- 1 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.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.ConcreteCategory.homstatement and proof · cited by 4,022
- TopCat.carrierstatement and proof · cited by 3,184
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- ContinuousMapstatement · cited by 2,491
- CommRingCatstatement · cited by 2,333
- AlgebraicGeometry.PresheafedSpace.carrierstatement and proof · cited by 2,020
- AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement and proof · cited by 1,988
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpacestatement and proof · cited by 1,892
Cited by3
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.IdealSheafData.subschemeιproof · cited by 36
- AlgebraicGeometry.Scheme.Hom.toImageproof · cited by 13
- AlgebraicGeometry.Scheme.Hom.copyBase_eqstatement · cited by 1