minif2f-v1 / amc12-2000-p15

amc12-2000-p15

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal amc12-2000-p15

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/amc12-2000-p15.lean

import Mathlib

set_option maxHeartbeats 0
open BigOperators Real Nat Topology Rat

theorem amc12_2000_p15 (f : ℂ → ℂ) (h₀ : ∀ x, f (x / 3) = x ^ 2 + x + 1)
  (h₁ : Fintype (f ⁻¹' {7})) : (∑ y ∈ (f ⁻¹' {7}).toFinset, y / 3) = -1 / 9 := by
  sorry

Runs (0)

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