comap_mulValuation_eq_padicValuation

English

The comap of the p-adic valuation along Rat.castHom coincides with Rat.padicValuation.

Русский

Обратная перевозка падиковой оценки по Rational Cast совпадает с padicValuation Райта.

LaTeX

$$Valuation.comap(Rat.castHom(Padic p)) = Rat.padicValuation(p)$$

Lean4

theorem comap_mulValuation_eq_padicValuation : (mulValuation (p := p)).comap (Rat.castHom _) = Rat.padicValuation p :=
  by
  ext
  simp [Rat.padicValuation]

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