Showcase / sq-add-sq-eq-three-mul-sq-s1
Proved by @cgbarlow. 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.
The Lean statement the swarm proved, kernel-verified at Gate A.
import Mathlib
theorem int_sq_mod_three_eq_zero_or_one (a : ℤ) : a ^ 2 % 3 = 0 ∨ a ^ 2 % 3 = 1 := by
sorry