-- Std.Data.DTreeMap.Internal.Balancing
_private.Std.Data.DTreeMap.Internal.Balancing.0.Std.DTreeMap.Internal.Impl.balanceL.match_3.splitter : {α : Type u_1} →
  {β : α → Type u_2} →
    (rs : ℕ) →
      (k : α) →
        (v : β k) →
          (l r : Std.DTreeMap.Internal.Impl α β) →
            (ls : ℕ) →
              (lk : α) →
                (lv : β lk) →
                  (motive :
                      (ll lr : Std.DTreeMap.Internal.Impl α β) →
                        (Std.DTreeMap.Internal.Impl.inner ls lk lv ll lr).Balanced →
                          Std.DTreeMap.Internal.Impl.BalanceLPrecond
                              (Std.DTreeMap.Internal.Impl.inner ls lk lv ll lr).size
                              (Std.DTreeMap.Internal.Impl.inner rs k v l r).size →
                            Sort u_3) →
                    (ll lr : Std.DTreeMap.Internal.Impl α β) →
                      (hlb : (Std.DTreeMap.Internal.Impl.inner ls lk lv ll lr).Balanced) →
                        (hlr :
                            Std.DTreeMap.Internal.Impl.BalanceLPrecond
                              (Std.DTreeMap.Internal.Impl.inner ls lk lv ll lr).size
                              (Std.DTreeMap.Internal.Impl.inner rs k v l r).size) →
                          ((lls : ℕ) →
                              (k_1 : α) →
                                (v_1 : β k_1) →
                                  (l_1 r_1 : Std.DTreeMap.Internal.Impl α β) →
                                    (lrs : ℕ) →
                                      (lrk : α) →
                                        (lrv : β lrk) →
                                          (lrl lrr : Std.DTreeMap.Internal.Impl α β) →
                                            (hlb :
                                                (Std.DTreeMap.Internal.Impl.inner ls lk lv
                                                    (Std.DTreeMap.Internal.Impl.inner lls k_1 v_1 l_1 r_1)
                                                    (Std.DTreeMap.Internal.Impl.inner lrs lrk lrv lrl lrr)).Balanced) →
                                              (hlr :
                                                  Std.DTreeMap.Internal.Impl.BalanceLPrecond
                                                    (Std.DTreeMap.Internal.Impl.inner ls lk lv
                                                        (Std.DTreeMap.Internal.Impl.inner lls k_1 v_1 l_1 r_1)
                                                        (Std.DTreeMap.Internal.Impl.inner lrs lrk lrv lrl lrr)).size
                                                    (Std.DTreeMap.Internal.Impl.inner rs k v l r).size) →
                                                motive (Std.DTreeMap.Internal.Impl.inner lls k_1 v_1 l_1 r_1)
                                                  (Std.DTreeMap.Internal.Impl.inner lrs lrk lrv lrl lrr) hlb hlr) →
                            ((size : ℕ) →
                                (k_1 : α) →
                                  (v_1 : β k_1) →
                                    (l_1 r_1 : Std.DTreeMap.Internal.Impl α β) →
                                      (hlb :
                                          (Std.DTreeMap.Internal.Impl.inner ls lk lv
                                              (Std.DTreeMap.Internal.Impl.inner size k_1 v_1 l_1 r_1)
                                              Std.DTreeMap.Internal.Impl.leaf).Balanced) →
                                        (hlr :
                                            Std.DTreeMap.Internal.Impl.BalanceLPrecond
                                              (Std.DTreeMap.Internal.Impl.inner ls lk lv
                                                  (Std.DTreeMap.Internal.Impl.inner size k_1 v_1 l_1 r_1)
                                                  Std.DTreeMap.Internal.Impl.leaf).size
                                              (Std.DTreeMap.Internal.Impl.inner rs k v l r).size) →
                                          motive (Std.DTreeMap.Internal.Impl.inner size k_1 v_1 l_1 r_1)
                                            Std.DTreeMap.Internal.Impl.leaf hlb hlr) →
                              ((x : Std.DTreeMap.Internal.Impl α β) →
                                  (hlb :
                                      (Std.DTreeMap.Internal.Impl.inner ls lk lv Std.DTreeMap.Internal.Impl.leaf
                                          x).Balanced) →
                                    (hlr :
                                        Std.DTreeMap.Internal.Impl.BalanceLPrecond
                                          (Std.DTreeMap.Internal.Impl.inner ls lk lv Std.DTreeMap.Internal.Impl.leaf
                                              x).size
                                          (Std.DTreeMap.Internal.Impl.inner rs k v l r).size) →
                                      motive Std.DTreeMap.Internal.Impl.leaf x hlb hlr) →
                                motive ll lr hlb hlr