∀ {m : Type w → Type w'} [inst : Monad m] [LawfulMonad m] {β : Type w} [inst : Monad m] [inst_1 : LawfulMonad m]
  {bit : Std.BundledIterM m β},
  Std.BundledIterM.stepOnQuotient (Quot.mk (Std.BundledIterM.Equiv m β) bit) =
    Std.IterStep.mapIterator (Quot.mk (Std.BundledIterM.Equiv m β)) <$> bit.step