Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.ord_add
∀ {X : AlgebraicGeometry.Scheme} [inst : AlgebraicGeometry.IsIntegral X]
[inst_1 : AlgebraicGeometry.IsLocallyNoetherian X] {x : ↥X} [IsDiscreteValuationRing ↑(X.presheaf.stalk x)]
{f g : ↑X.functionField},
f + g ≠ 0 →
min (AlgebraicGeometry.Scheme.ord f x) (AlgebraicGeometry.Scheme.ord g x) ≤ AlgebraicGeometry.Scheme.ord (f + g) x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 163 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites27
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