Showcase / cassini-nat-fib-int
Proved by @ruvnet. Kernel-verified at Gate A; no human in the correctness path.
The goal record the swarm was asked to discharge — the source of truth for this proof's identity and difficulty.
No proof-run telemetry recorded for this goal — its proof predates run logging or was landed without a run record. Difficulty 4.
The Lean statement the swarm proved, kernel-verified at Gate A.
import Mathlib
theorem cassini_nat_fib_int (n : ℕ) : (Nat.fib n : ℤ) * Nat.fib (n + 2) - Nat.fib (n + 1) ^ 2 = (-1) ^ (n + 1) := by
sorry