-- Maclain Hunter: The Law of Grounded Identity (LGI)
-- Exact authored source SHA-256: 6c1c2f61cdb5aa6d34fa1310071618f42c09e4a5b5987e18d8f3337dc3426210
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.
import Lean
namespace HunterAuthored

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

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

end HunterAuthored