putnam-v1 / putnam-1968-a5

putnam-1968-a5

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal putnam-1968-a5

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-1968-a5.lean

import Mathlib

open Finset Polynomial
abbrev putnam_1968_a5_solution : ℝ := 8

theorem putnam_1968_a5 (V : Set ℝ[X])
(V_def : V = {P : ℝ[X] | P.degree = 2 ∧ ∀ x ∈ Set.Icc 0 1, |P.eval x| ≤ 1})
: sSup {|(derivative P).eval 0| | P ∈ V} = putnam_1968_a5_solution := by
  sorry

Runs (0)

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