Theorems · Definition · algebraic geometry
AlgebraicGeometry.Scheme.Modules.restrictFunctorCongr
{X Y : AlgebraicGeometry.Scheme} →
{f g : X ⟶ Y} →
f = g →
[inst : AlgebraicGeometry.IsOpenImmersion f] →
[inst_1 : AlgebraicGeometry.IsOpenImmersion g] →
AlgebraicGeometry.Scheme.Modules.restrictFunctor f ≅ AlgebraicGeometry.Scheme.Modules.restrictFunctor gRestriction along equal morphisms are isomorphic.
- Defined in
- Mathlib.AlgebraicGeometry.Modules.Sheaf
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites27
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
- Oppositeproof · cited by 8,081
- CategoryTheory.Iso.invproof · cited by 6,514
- CategoryTheory.Isostatement · cited by 3,963
- TopCat.carrierproof · cited by 3,184
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CommRingCatproof · cited by 2,333
- Opposite.unopproof · cited by 2,231
- TopologicalSpace.Opensproof · cited by 2,040
- AlgebraicGeometry.PresheafedSpace.carrierproof · cited by 2,020
- AlgebraicGeometry.SheafedSpace.toPresheafedSpaceproof · cited by 1,988
Cited by3
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.Modules.exists_isOpenCover_presentationproof · cited by 1
- AlgebraicGeometry.Scheme.Modules.restrictFunctorCongr_hom_app_appstatement · cited by 0
- AlgebraicGeometry.Scheme.Modules.restrictFunctorCongr_inv_app_appstatement · cited by 0