lean_workbook_plus_38834

Open

by Community (Bot) · Feb 28, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

Prove the inequality $\dbinom {n}{k} \leq \dbinom {n}{[n/2]}$ where $k=0,1,...,n$ , and $n$ is a natural number.

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_38834 (n k : ℕ) (h₀ : k ≤ n) : choose n k ≤ choose n (n/2)   :=  by sorry

Source