Theorems · Definition · algebraic geometry
AlgebraicGeometry.LocallyRingedSpace.forgetToSheafedSpace
CategoryTheory.Functor AlgebraicGeometry.LocallyRingedSpace (AlgebraicGeometry.SheafedSpace CommRingCat)
The forgetful functor from LocallyRingedSpace to SheafedSpace CommRing.
- Cited by
- 29 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- CommRingCatstatement · cited by 2,333
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpaceproof · cited by 1,892
- AlgebraicGeometry.LocallyRingedSpace.Hom.toHomproof · cited by 995
- AlgebraicGeometry.LocallyRingedSpacestatement and proof · cited by 205
- AlgebraicGeometry.SheafedSpacestatement · cited by 142
- CategoryTheory.InducedCategory.homMkproof · cited by 33
Cited by38
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.LocallyRingedSpace.Γproof · cited by 48
- AlgebraicGeometry.LocallyRingedSpace.GlueData.toSheafedSpaceGlueDataproof · cited by 5
- AlgebraicGeometry.LocallyRingedSpace.toΓSpec_preimage_basicOpen_eqstatement · cited by 3
- AlgebraicGeometry.LocallyRingedSpace.GlueData.isoSheafedSpaceproof · cited by 3
- AlgebraicGeometry.Scheme.GlueData.isoCarrierproof · cited by 3
- AlgebraicGeometry.LocallyRingedSpace.forgetToTopproof · cited by 3
- AlgebraicGeometry.LocallyRingedSpace.GlueData.ι_isoSheafedSpace_invproof · cited by 2
- AlgebraicGeometry.Scheme.GlueData.ι_eq_iffproof · cited by 2
- AlgebraicGeometry.Scheme.GlueData.ι_isoCarrier_invproof · cited by 2
- AlgebraicGeometry.Flat.epi_of_flat_of_surjectiveproof · cited by 1