combibench-v1 / brualdi-ch8-9
brualdi-ch8-9
open
difficulty 4
credited
Run this goal:
./swarm/run.sh --goal brualdi-ch8-9What 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
sorryRuns (0)
No runs recorded for this suite yet — they appear here as the swarm attempts the benchmarks.