minif2f-v1 / algebra-amgm-sumasqdivbsqgeqsumbdiva

algebra-amgm-sumasqdivbsqgeqsumbdiva

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal algebra-amgm-sumasqdivbsqgeqsumbdiva

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-amgm-sumasqdivbsqgeqsumbdiva.lean

import Mathlib

set_option maxHeartbeats 0
open BigOperators Real Nat Topology Rat

theorem algebra_amgm_sumasqdivbsqgeqsumbdiva (a b c : ℝ) (h₀ : 0 < a ∧ 0 < b ∧ 0 < c) :
  a ^ 2 / b ^ 2 + b ^ 2 / c ^ 2 + c ^ 2 / a ^ 2 ≥ b / a + c / b + a / c := by
  sorry

Runs (0)

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