minif2f-v1 / amc12a-2002-p1

amc12a-2002-p1

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal amc12a-2002-p1

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/amc12a-2002-p1.lean

import Mathlib

set_option maxHeartbeats 0
open BigOperators Real Nat Topology Rat

theorem amc12a_2002_p1 (f : ℂ → ℂ) (h₀ : ∀ x, f x = (2 * x + 3) * (x - 4) + (2 * x + 3) * (x - 6))
  (h₁ : Fintype (f ⁻¹' {0})) : (∑ y ∈ (f ⁻¹' {0}).toFinset, y) = 7 / 2 := by
  sorry

Runs (0)

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