finsetImage_castAdd_Iio — Mathlib

English

For any Fin n and m, the image of Iio i under castAdd m equals Iio (castAdd m i).

Русский

Для любых i ∈ Fin n и m ∈ ℕ образ Iio i под castAdd m равен Iio (castAdd m i).

LaTeX

$$$ (\mathrm{Finset}.Iio\, i).image (\mathrm{Fin.castAdd}\, m) = \mathrm{Finset}.Iio\ (\mathrm{Fin.castAdd}\, m\, i) $$$

Lean4

@[simp]
theorem finsetImage_castAdd_Iio (m) (i : Fin n) : (Iio i).image (castAdd m) = Iio (castAdd m i) :=
  finsetImage_castLE_Iio ..

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