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Theorems · Definition · commutative algebra

Rat.ringOfIntegersWithValEquiv

{Γ₀ : Type u_2} →
  [inst : LinearOrderedCommGroupWithZero Γ₀] → (v : Valuation ℚ Γ₀) → NumberField.RingOfIntegers (WithVal v) ≃+* ℤ

The ring of integers of WithVal v, when v is a valuation on , is equivalent to .

Defined in
Mathlib.Topology.Algebra.Valued.WithVal
Cited by
1 results in Mathlib
Foundations
Depth 152 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
LinearOrderedCommGroupWithZero

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