putnam-v1 / putnam-1968-b2

putnam-1968-b2

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal putnam-1968-b2

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-b2.lean

import Mathlib

open Finset Polynomial

theorem putnam_1968_b2 {G : Type*}
[Group G]
(hG : Finite G)
(A : Set G)
(hA : A.ncard > (Nat.card G : ℚ)/2)
: ∀ g : G, ∃ x ∈ A, ∃ y ∈ A, g = x * y := by
  sorry

Runs (0)

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