ofFn_fin_append — Mathlib

English

For a: Fin m → α and b: Fin n → α, List.ofFn (Fin.append a b) = List.ofFn a ++ List.ofFn b.

Русский

Для a: Fin m → α и b: Fin n → α, List.ofFn (Fin.append a b) = List.ofFn a + List.ofFn b.

LaTeX

$$$ \\operatorname{List.ofFn} (\\mathrm{Fin.append}\\ a\ b) = \\operatorname{List.ofFn} a \\;\\;\\text{++}\\;\\; \\operatorname{List.ofFn} b $$$

Lean4

@[simp]
theorem ofFn_fin_append {m n} (a : Fin m → α) (b : Fin n → α) :
    List.ofFn (Fin.append a b) = List.ofFn a ++ List.ofFn b :=
  by
  simp_rw [ofFn_add]
  simp [Fin.append_left', Fin.append_right]

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