-- Maclain Hunter: Logos Entails Coherent Morality by Maclain Hunter
-- Exact authored source SHA-256: 500b7c08a8ce46caaff764d9b2039d1805c6f430b20b36a8e6ddbd8ee4fc47ad
-- 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))) && (!v3))) || ((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))) && ((!v2) == v3)) && v3)) || ((!(v0 && v1)) && ((!v2) && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide
#print axioms inference_2

end HunterAuthored