∀ (m : Type u_1 → Type u_2) (β : Type u_1) [inst : Monad m] [inst_1 : LawfulMonad m]
  (R S : Std.BundledIterM m β → Std.BundledIterM m β → Prop),
  Lean.Order.PartialOrder.rel R S →
    ∀ (ita itb : Std.BundledIterM m β),
      Std.Iterators.HetT.map (Std.IterStep.mapIterator (Quot.mk S)) ita.step =
          Std.Iterators.HetT.map (Std.IterStep.mapIterator (Quot.mk S)) itb.step →
        Std.Iterators.HetT.map (Std.IterStep.mapIterator (Quot.mk R)) ita.step =
          Std.Iterators.HetT.map (Std.IterStep.mapIterator (Quot.mk R)) itb.step