toPrincipalIdeal_def — Mathlib

English

The toPrincipalIdeal construction assigns to a unit x in K the principal fractional ideal generated by x.

Русский

Конструкция toPrincipalIdeal задаёт для единицы x в K главный фракционный идеал, порождаемый x.

LaTeX

$$toPrincipalIdeal R K x = spanSingleton _ (x)$$

Lean4

theorem toPrincipalIdeal_def : eta_helper Eq✝ @toPrincipalIdeal.{} @(delta% @definition✝) :=
  by
  intros
  delta toPrincipalIdeal
  rw [show wrapped✝ = ⟨@definition✝.{}, rfl✝⟩ from Subtype.ext✝ wrapped✝.2.symm✝]
  rfl

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