Theorems · Definition · commutative algebra

WithVal.ofVal

{R : Type u_1} →
  {Γ₀ : Type u_2} →
    [inst : LinearOrderedCommGroupWithZero Γ₀] → [inst_1 : Ring R] → {v : Valuation R Γ₀} → WithVal v → R

Converts an element of WithVal v to an element of R.

Defined in

Mathlib.Topology.Algebra.Valued.WithVal

Cited by

47 results in Mathlib

Foundations

Depth 3 from the axioms · uses no axioms

Assumes

LinearOrderedCommGroupWithZeroRing