raise' — Mathlib

English

For any x, lower' of the empty list is empty.

Русский

Для любой x, нижний список пустого списка пуст.

LaTeX

$$$\\text{lower'}(\\text{List.nil}, x) = \\text{List.nil}$$$

Lean4

/-- Outputs the list of partial sums plus one of the input list, that is
`raise [a₁, a₂, a₃, ...] n = [n + a₁, n + a₁ + a₂ + 1, n + a₁ + a₂ + a₃ + 2, ...]`. Adding one each
time ensures the elements are distinct. -/
def raise' : List ℕ → ℕ → List ℕ
  | [], _ => []
  | m :: l, n => (m + n) :: raise' l (m + n + 1)

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