image_castSucc_Ioc — Mathlib

English

Let i and j be elements of Fin n. The image of the interval Ioc(i, j) under castSucc equals Ioc(i.castSucc, j.castSucc) in Fin(n+1).

Русский

Пусть i и j ∈ Fin n. Образ интервала Ioc(i, j) под castSucc равен Ioc(i.castSucc, j.castSucc) в Fin(n+1).

LaTeX

$$$\operatorname{Set.image}(\mathrm{Fin.castSucc}, \mathrm{Set.Ioc}(i, j)) = \mathrm{Set.Ioc}(i.castSucc, j.castSucc)$$$

Lean4

@[simp]
theorem image_castSucc_Ioc (i j : Fin n) : castSucc '' Ioc i j = Ioc i.castSucc j.castSucc :=
  image_castAdd_Ioc ..

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