finsetImage_castAdd_Ico — Mathlib

English

For any Fin n and m, the image of the half-open interval Ico i j under the map castAdd m is Ico (castAdd m i) (castAdd m j).

Русский

Для любых i, j ∈ Fin n и m ∈ ℕ образ Ico i j под отображением castAdd m равен Ico (castAdd m i) (castAdd m j).

LaTeX

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

Lean4

@[simp]
theorem finsetImage_castAdd_Ico (m) (i j : Fin n) : (Ico i j).image (castAdd m) = Ico (castAdd m i) (castAdd m j) :=
  finsetImage_castLE_Ico ..

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