Complementary choices in a shifted set size
ProvedWorkbookRestored.plus_10295lean-workbookrestored-importssource-checked
For natural numbers ,
Here uses natural subtraction, so it is zero when .
This restores the missing imports or namespaces of the original node, retaining its formal proposition. Source: Lean-Workbook row lean_workbook_plus_10295 (Apache-2.0).
Preamble
import Mathlib.Data.Nat.Choose.Basic open Nat
Formal statement
theorem WorkbookRestored.plus_10295 (n k : ℕ) : choose (n - 1 + k) (n - 1) = choose (n - 1 + k) k := by sorry
Source