Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.le_ord_iff
∀ {X : AlgebraicGeometry.Scheme} [inst : AlgebraicGeometry.IsIntegral X]
[inst_1 : AlgebraicGeometry.IsLocallyNoetherian X] {x : ↥X} (hx : Order.coheight x = 1) {f : ↑X.functionField},
f ≠ 0 →
∀ {n : ℤ},
n ≤ AlgebraicGeometry.Scheme.ord f x ↔ ↑(Multiplicative.ofAdd n) ≤ (AlgebraicGeometry.Scheme.ordHom x hx) f- Cited by
- 0 results in Mathlib
- Foundations
- Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound
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