image_castSucc_Ioo — Mathlib

English

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

Русский

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

LaTeX

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

Lean4

@[simp]
theorem image_castSucc_Ioo (i j : Fin n) : castSucc '' Ioo i j = Ioo i.castSucc j.castSucc :=
  image_castAdd_Ioo ..

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