Theorems · Theorem · commutative algebra

ValuativeRel.IsRankLeOne.of_valuativeExtension

∀ {A : Type u_1} (B : Type u_2) [inst : CommRing A] [inst_1 : Ring B] [inst_2 : ValuativeRel A]
  [inst_3 : ValuativeRel B] [inst_4 : Algebra A B] [ValuativeExtension A B] [ValuativeRel.IsRankLeOne B],
  ValuativeRel.IsRankLeOne A

Defined in

Mathlib.RingTheory.Valuation.ValuativeRel.Basic

Cited by

0 results in Mathlib

Foundations

Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingRingValuativeRelValuativeRelAlgebraValuativeExtensionValuativeRel.IsRankLeOne