-- Maclain Hunter: Reason as the Ship of Theseus by Maclain Hunter
-- Exact authored source SHA-256: 8bd8c1e324dbdd45f5e088ce01c766e470019695a267ea1e64b15598d156d26b
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.
import Lean
namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3))) || ((v0 && v1) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide
#print axioms inference_1

theorem source_identity_rule (α : Type) (a : α) : a = a := rfl
#print axioms source_identity_rule

end HunterAuthored