Theorems · Definition · commutative algebra

WithVal.congr

{R : Type u_1} →
  {Γ₀ : Type u_2} →
    [inst : LinearOrderedCommGroupWithZero Γ₀] →
      [inst_1 : Ring R] →
        (v : Valuation R Γ₀) →
          {S : Type u_3} →
            [inst_2 : Ring S] →
              {Λ₀ : Type u_4} →
                [inst_3 : LinearOrderedCommGroupWithZero Λ₀] → (w : Valuation S Λ₀) → R ≃+* S → WithVal v ≃+* WithVal w

Lift a RingEquiv to WithVal.

Defined in

Mathlib.Topology.Algebra.Valued.WithVal

Cited by

10 results in Mathlib

Foundations

Depth 27 from the axioms · uses propext, Quot.sound

Assumes

LinearOrderedCommGroupWithZeroRingRingLinearOrderedCommGroupWithZero