Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.ord.congr_simp
∀ {X : AlgebraicGeometry.Scheme} [inst : AlgebraicGeometry.IsIntegral X]
[inst_1 : AlgebraicGeometry.IsLocallyNoetherian X] (f f_1 : ↑X.functionField),
f = f_1 → ∀ (z z_1 : ↥X), z = z_1 → AlgebraicGeometry.Scheme.ord f z = AlgebraicGeometry.Scheme.ord f_1 z_1- Cited by
- 2 results in Mathlib
- Foundations
- Depth 156 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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
- CommRingCat.carrierstatement and proof · cited by 1,096
- AlgebraicGeometry.IsIntegralstatement and proof · cited by 45
- AlgebraicGeometry.IsLocallyNoetherianstatement and proof · cited by 31
- AlgebraicGeometry.Scheme.functionFieldstatement and proof · cited by 23
- AlgebraicGeometry.Scheme.ordstatement and proof · cited by 12
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