-- Maclain Hunter: ‘Reason as the Cause of the Universe (God) is Rationally Consistent’ by Maclain Hunter
-- Exact authored source SHA-256: eb6241524418d83c6920598e85b69476235abf71f1ba0a5943ab8be5d661678d
-- 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)) && ((!v2) || v0))) || ((v0 && v1) && v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide
#print axioms inference_1

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

end HunterAuthored