Theorems · Theorem · commutative algebra

Valuation.IsEquiv.uniformContinuous_equiv_symm

∀ {R : Type u_4} {Γ₀ : Type u_5} {Γ₀' : Type u_6} [inst : Ring R] [inst_1 : LinearOrderedCommGroupWithZero Γ₀]
  [inst_2 : LinearOrderedCommGroupWithZero Γ₀'] {v : Valuation R Γ₀} {w : Valuation R Γ₀'} [hval : Valued R Γ₀'],
  Valued.v = w → w.IsEquiv v → UniformContinuous ⇑(WithVal.equiv v).symm

Defined in

Mathlib.Topology.Algebra.Valued.WithVal

Cited by

1 results in Mathlib

Foundations

Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingLinearOrderedCommGroupWithZeroLinearOrderedCommGroupWithZeroValued