Theorems · Theorem · commutative algebra

WithVal.congr_trans

∀ {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)
  {T : Type u_5} [inst_4 : Ring T] (u : Valuation T Γ₀) (f : R ≃+* S) (g : S ≃+* T),
  WithVal.congr v u (f.trans g) = (WithVal.congr v w f).trans (WithVal.congr w u g)

Defined in

Mathlib.Topology.Algebra.Valued.WithVal

Cited by

0 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Quot.sound

Assumes

LinearOrderedCommGroupWithZeroRingRingLinearOrderedCommGroupWithZeroRing