English
The grade function assigns to each element of α a grade in 𝕆, measuring its level in the graded order.
Русский
Функция града присваивает каждому элементу α значение града в 𝕆, измеряя его уровень в градуированном порядке.
LaTeX
$$$\mathrm{grade}: \alpha \to 𝕆$ is defined as the GradeOrder.grade map.$$
Lean4
/-- The grade of an element in a graded order. Morally, this is the number of elements you need to
go down by to get to `⊥`. -/
def grade : α → 𝕆 :=
GradeOrder.grade