valued — Mathlib

English

The p-adic complex numbers carry a valuation extending the one on PadicAlgCl(p).

Русский

p-адические комплексные числа оснащены valuations, продолжающей valuation на PadicAlgCl(p).

LaTeX

$$$\mathbb{C}_p\text{ is a valued field with valuation extending } v_{\mathrm{PadicAlgCl}_p}.$$$

Lean4

/-- `ℂ_[p]` is a valued field, where the valuation is the one extending that on `PadicAlgCl p`. -/
instance valued : Valued ℂ_[p] ℝ≥0 :=
  inferInstance

Похожие утверждения