Theorems · Definition · commutative algebra

WithVal.equiv

{R : Type u_1} →
  {Γ₀ : Type u_2} →
    [inst : LinearOrderedCommGroupWithZero Γ₀] → [inst_1 : Ring R] → (v : Valuation R Γ₀) → WithVal v ≃+* R

The canonical ring equivalence between WithVal v and R.

Defined in

Mathlib.Topology.Algebra.Valued.WithVal

Cited by

36 results in Mathlib

Foundations

Depth 14 from the axioms · uses no axioms

Assumes

LinearOrderedCommGroupWithZeroRing