-- Maclain Hunter: Infinite Cause, Dynamic Reality, and the Axiom of Logic
-- Exact authored source SHA-256: 68d262bdd1cd10a84662e97e1bd7f3dbaafa58e0901c474a9772597e9e719f57
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.
import Lean
namespace HunterAuthored

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

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

theorem source_identity_rule (α : Type) (a : α) : a = a := rfl
#print axioms source_identity_rule

end HunterAuthored