Theorems · Definition · algebraic geometry
AlgebraicGeometry.Scheme.IdealSheafData.gci
{X : AlgebraicGeometry.Scheme} →
GaloisCoinsertion AlgebraicGeometry.Scheme.IdealSheafData.ideal AlgebraicGeometry.Scheme.IdealSheafData.ofIdealsThe Galois coinsertion between ideal sheaves and arbitrary families of ideals.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 168 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- SetLike.coeproof · cited by 8,199
- Oppositestatement · cited by 8,081
- Set.Elemstatement and proof · cited by 7,166
- Idealstatement and proof · cited by 4,748
- TopCat.carrierstatement · cited by 3,184
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CommRingCatstatement · cited by 2,333
- TopologicalSpace.Opensstatement · cited by 2,040
- AlgebraicGeometry.PresheafedSpace.carrierstatement · cited by 2,020
- AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement and proof · cited by 1,988
Cited by4
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.IdealSheafData.le_ofIdeals_iffproof · cited by 2
- AlgebraicGeometry.Scheme.IdealSheafData.ofIdeals_monoproof · cited by 1
- AlgebraicGeometry.Scheme.IdealSheafData.strictMono_idealproof · cited by 1
- AlgebraicGeometry.Scheme.IdealSheafData.ofIdeals_idealproof · cited by 1