finsetImage_castAdd_uIcc — Mathlib

English

For any Fin n and m, the image of the symmetric interval uIcc i j under castAdd m is uIcc (castAdd m i) (castAdd m j).

Русский

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

LaTeX

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

Lean4

@[simp]
theorem finsetImage_castAdd_uIcc (m) (i j : Fin n) : (uIcc i j).image (castAdd m) = uIcc (castAdd m i) (castAdd m j) :=
  finsetImage_castLE_uIcc ..

Похожие утверждения