Theorems · Theorem · commutative algebra

ValuativeExtension.vlt_iff_vlt

∀ {A : Type u_1} {B : Type u_2} [inst : CommSemiring A] [inst_1 : Semiring B] [inst_2 : ValuativeRel A]
  [inst_3 : ValuativeRel B] [inst_4 : Algebra A B] [ValuativeExtension A B] {a b : A},
  (algebraMap A B) a <ᵥ (algebraMap A B) b ↔ a <ᵥ b

Defined in

Mathlib.RingTheory.Valuation.ValuativeRel.Basic

Cited by

0 results in Mathlib

Foundations

Depth 17 from the axioms · uses propext

Assumes

CommSemiringSemiringValuativeRelValuativeRelAlgebraValuativeExtension