putnam-v1 / putnam-1967-a1

putnam-1967-a1

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal putnam-1967-a1

What it runs

The Lean statement the swarm must prove — kernel-verified at Gate A. The trailing sorry is the open obligation a proof replaces.

goals/putnam-1967-a1.lean

import Mathlib

open Nat Topology Filter

theorem putnam_1967_a1 (n : ℕ) (hn : n > 0)
(a : Set.Icc 1 n → ℝ)
(f : ℝ → ℝ)
(hf : f = (fun x : ℝ => ∑ i : Set.Icc 1 n, a i * Real.sin (i * x)))
(flesin : ∀ x : ℝ, abs (f x) ≤ abs (Real.sin x))
: abs (∑ i : Set.Icc 1 n, i * a i) ≤ 1 := by
  sorry

Runs (0)

No runs recorded for this suite yet — they appear here as the swarm attempts the benchmarks.