-- Maclain Hunter: The Rule of Logic and Proof Knowledge
-- Exact authored source SHA-256: 919ec6a81d4d9c29e8e5873ecad247c506879133137901dd0e736a23f17ec5aa
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.
import Lean
namespace HunterAuthored

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

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

end HunterAuthored