-- Maclain Hunter: Leveraging Lars’ Logic by Maclain Hunter
-- Exact authored source SHA-256: 182ba175e012b4693ab114600d0ca332b315dfd67c25394f8c3a4288f2142503
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.
import Lean
namespace HunterAuthored

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

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

end HunterAuthored