minif2f-v1 / amc12a-2003-p25

amc12a-2003-p25

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal amc12a-2003-p25

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-2003-p25.lean

import Mathlib

set_option maxHeartbeats 0
open BigOperators Real Nat Topology Rat

theorem amc12a_2003_p25 (a b : ℝ) (f : ℝ → ℝ) (h₀ : 0 < b)
  (h₁ : ∀ x, f x = Real.sqrt (a * x ^ 2 + b * x)) (h₂ : { x | 0 ≤ f x } = f '' { x | 0 ≤ f x }) :
  a = 0 ∨ a = -4 := by
  sorry

Runs (0)

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