minif2f-v1 / algebra-2complexrootspoly-xsqp49eqxp7itxpn7i

algebra-2complexrootspoly-xsqp49eqxp7itxpn7i

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal algebra-2complexrootspoly-xsqp49eqxp7itxpn7i

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/algebra-2complexrootspoly-xsqp49eqxp7itxpn7i.lean

import Mathlib

set_option maxHeartbeats 0
open BigOperators Real Nat Topology Rat

theorem algebra_2complexrootspoly_xsqp49eqxp7itxpn7i (x : ℂ) :
    x ^ 2 + 49 = (x + 7 * Complex.I) * (x + -7 * Complex.I) := by
  sorry

Runs (1)

Goal	Contributor	Model	Date (UTC)	Time	Result	Verification
algebra-2complexrootspoly-xsqp49eqxp7itxpn7i	cgbarlow	claude/opus	2026-06-30 20:49	14m	failed	—