combibench-v1 / brualdi-ch8-9

brualdi-ch8-9

open
difficulty 4
credited
Run this goal:./swarm/run.sh --goal brualdi-ch8-9

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/brualdi-ch8-9.lean
import Mathlib

theorem brualdi_ch8_9 (h : ℕ → ℤ) (k n : ℕ): (fwdDiff 1)^[k] h n = ∑ j ∈ Finset.range (k + 1),
    (-1 : ℤ) ^ (k - j) * Nat.choose k j * h (n + j) := by
  sorry

Runs (0)

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