-- Maclain Hunter: Proof Logic is Conscious by Maclain Hunter — Further Supplied Source
-- Exact authored source SHA-256: 6b5e2f503faaa456088c727ff5c06e41ce1e8dd11dbaed2ba8d6c53eb13a6921
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.
import Lean
namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && v1) && v2)) || ((v0 && v1) == v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide
#print axioms inference_1

theorem inference_2 (v0 v1 v2 : Bool) :
    ((!((v0 && v1) && v2)) || ((v0 && v1) == v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide
#print axioms inference_2

end HunterAuthored