putnam-v1 / putnam-1968-a2

putnam-1968-a2

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal putnam-1968-a2

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-a2.lean

import Mathlib

theorem putnam_1968_a2 (a b c d e f : ℤ)
(ε : ℝ)
(hne : a * d ≠ b * c)
(hε : ε > 0)
: ∃ r s : ℚ, (|r * a + s * b - e| : ℝ) ∈ Set.Ioo 0 ε ∧ (|r * c + s * d - f| : ℝ) ∈ Set.Ioo 0 ε := by
  sorry

Runs (0)

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