mul — Mathlib

English

A definitional equality ensuring that multiplication in FractionalIdeal is compatible with its internal representation.

Русский

Дефиниционное равенство, гарантирующее совместимость умножения во FractionalIdeal с его внутренним представлением.

LaTeX

$$eta_helper Eq✝ @mul.{} @(delta% @definition✝) = ...$$

Lean4

/-- `FractionalIdeal.mul` is the product of two fractional ideals,
used to define the `Mul` instance.

This is only an auxiliary definition: the preferred way of writing `I.mul J` is `I * J`.

Elaborated terms involving `FractionalIdeal` tend to grow quite large,
so by making definitions irreducible, we hope to avoid deep unfolds.
-/
def mul :=
  val_proj @wrapped✝.{}

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