Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.ord_zero
∀ {X : AlgebraicGeometry.Scheme} [inst : AlgebraicGeometry.IsIntegral X]
[inst_1 : AlgebraicGeometry.IsLocallyNoetherian X], AlgebraicGeometry.Scheme.ord 0 = 0- Cited by
- 2 results in Mathlib
- Foundations
- Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- TopCat.carrierstatement and proof · cited by 3,184
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- 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
- AlgebraicGeometry.Scheme.toLocallyRingedSpacestatement and proof · cited by 1,734
- map_zeroproof · cited by 1,614
- CommRingCat.carrierstatement and proof · cited by 1,096
- Multiplicative.toAddproof · cited by 161
- Order.coheightproof · cited by 74
Cited by2
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.ord_le_smulproof · cited by 0
- AlgebraicGeometry.Scheme.ord_addproof · cited by 0