map_castAddEmb_uIcc — Mathlib

English

The image of uIcc i j under castAddEmb m is uIcc (castAdd m i) (castAdd m j).

Русский

Образ uIcc i j под castAddEmb m равен uIcc (castAdd m i) (castAdd m j).

LaTeX

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

Lean4

@[simp]
theorem map_castAddEmb_uIcc (m) (i j : Fin n) : (uIcc i j).map (castAddEmb m) = uIcc (castAdd m i) (castAdd m j) :=
  map_castLEEmb_uIcc ..

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