-- Maclain Hunter: If, Then, But, Since
-- Exact authored source SHA-256: d5d605ddc507120a8697c591af1ae2d6c03ad84b39a8415dc01c3548cac69754
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.
import Lean
namespace HunterAuthored

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

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

end HunterAuthored