putnam-v1 / putnam-1967-a4

putnam-1967-a4

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal putnam-1967-a4

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-a4.lean

import Mathlib

open Nat Topology Filter

theorem putnam_1967_a4 (lambda : ℝ)
(hlambda : lambda > 1 / 2)
: ¬∃ u : ℝ → ℝ, MeasureTheory.IntegrableOn u (Set.Icc 0 1) ∧ ∀ x ∈ Set.Icc 0 1, u x = 1 + lambda * (∫ y in Set.Ioo x 1, u y * u (y - x)) := by
  sorry

Runs (0)

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