-- Maclain Hunter: Proof of Established Certainty by Maclain Hunter
-- Exact authored source SHA-256: e58e12ad28490c9367345c3f942f6f0579372963042a03fefaff15b38ce0d5ff
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.
import Lean
namespace HunterAuthored

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

theorem inference_2 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && ((!v0) || v1)) && (v1 && v2)) && ((!v0) || v3))) || (((!(v0 && v1)) || v2) == v3)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide
#print axioms inference_2

end HunterAuthored