Theorems · Definition · commutative algebra

Valuation.restrict

{R : Type u_3} →
  {Γ₀ : Type u_4} →
    [inst : Ring R] →
      [inst_1 : LinearOrderedCommGroupWithZero Γ₀] →
        (v : Valuation R Γ₀) → Valuation R (MonoidWithZeroHom.ofClass v).ValueGroup₀

The restriction of a valuation so that it takes values in its valueGroup₀.

Defined in

Mathlib.RingTheory.Valuation.Basic

Cited by

112 results in Mathlib

Foundations

Depth 77 from the axioms, rests on 1,155 definitions · uses propext, Classical.choice, Quot.sound

Assumes

RingLinearOrderedCommGroupWithZero