image_castSucc_uIcc — Mathlib

English

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

Русский

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

LaTeX

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

Lean4

@[simp]
theorem image_castSucc_uIcc (i j : Fin n) : castSucc '' uIcc i j = uIcc i.castSucc j.castSucc :=
  image_castAdd_uIcc ..

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