minif2f-v1 / algebra-amgm-faxinrrp2msqrt2geq2mxm1div2x

algebra-amgm-faxinrrp2msqrt2geq2mxm1div2x

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal algebra-amgm-faxinrrp2msqrt2geq2mxm1div2x

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-faxinrrp2msqrt2geq2mxm1div2x.lean

import Mathlib

set_option maxHeartbeats 0
open BigOperators Real Nat Topology Rat

theorem algebra_amgm_faxinrrp2msqrt2geq2mxm1div2x :
  ∀ x > 0, 2 - Real.sqrt 2 ≥ 2 - x - 1 / (2 * x) := by
  sorry

Runs (0)

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