coe_toInteger — Mathlib

English

In the Rat setting, discriminant of the zeta-based basis equals a product of a unit and p^n as in discr_prime_pow_eq_unit_mul_pow'.

Русский

В setting Rat дискриминант базиса ζ равен произведению единицы на p^n.

LaTeX

$$$\exists u \in \mathbb{Z}^{\times}, \exists n \in \mathbb{N}, \; \operatorname{discr} = u \cdot p^n$$$

Lean4

theorem coe_toInteger {k : ℕ} [NeZero k] (hζ : IsPrimitiveRoot ζ k) : hζ.toInteger.1 = ζ :=
  rfl

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