minif2f-v1 / algebra-sqineq-2unitcircatblt1

algebra-sqineq-2unitcircatblt1

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal algebra-sqineq-2unitcircatblt1

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-sqineq-2unitcircatblt1.lean

import Mathlib

set_option maxHeartbeats 0
open BigOperators Real Nat Topology Rat

theorem algebra_sqineq_2unitcircatblt1 (a b : ℝ) (h₀ : a ^ 2 + b ^ 2 = 2) : a * b ≤ 1 := by
  sorry

Runs (0)

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