Theorems · Definition · algebraic geometry
AlgebraicGeometry.Scheme.Modules.pushforwardCongr
{X Y : AlgebraicGeometry.Scheme} →
{f g : X ⟶ Y} →
f = g → (AlgebraicGeometry.Scheme.Modules.pushforward f ≅ AlgebraicGeometry.Scheme.Modules.pushforward g)Pushforwards along equal morphisms are isomorphic.
- Defined in
- Mathlib.AlgebraicGeometry.Modules.Sheaf
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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.Functorstatement · cited by 16,252
- CategoryTheory.Isostatement · cited by 3,963
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- AlgebraicGeometry.PresheafedSpace.Hom.baseproof · cited by 1,135
- AlgebraicGeometry.LocallyRingedSpace.Hom.toHomproof · cited by 995
- AlgebraicGeometry.Scheme.Hom.toLRSHom'proof · cited by 895
- CategoryTheory.Iso.transproof · cited by 566
- AlgebraicGeometry.Scheme.Modulesstatement · cited by 108
- AlgebraicGeometry.Scheme.Modules.pushforwardstatement · cited by 25
- SheafOfModules.pushforwardCongrproof · cited by 9
- TopologicalSpace.Opens.mapIsoproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.Modules.pushforwardCongr_hom_app_appstatement · cited by 0
- AlgebraicGeometry.Scheme.Modules.pushforwardCongr_inv_app_appstatement · cited by 0