minif2f-v1 / algebra-amgm-prod1toneq1-sum1tongeqn

algebra-amgm-prod1toneq1-sum1tongeqn

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal algebra-amgm-prod1toneq1-sum1tongeqn

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-prod1toneq1-sum1tongeqn.lean

import Mathlib

set_option maxHeartbeats 0
open BigOperators Real Nat Topology Rat

theorem algebra_amgm_prod1toneq1_sum1tongeqn (a : ℕ → NNReal) (n : ℕ)
  (h₀ : Finset.prod (Finset.range n) a = 1) : Finset.sum (Finset.range n) a ≥ n := by
  sorry

Runs (0)

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