diff --git a/src/frontends/lean/builtin_cmds.cpp b/src/frontends/lean/builtin_cmds.cpp
index 98b9a7920..794037ba0 100644
--- a/src/frontends/lean/builtin_cmds.cpp
+++ b/src/frontends/lean/builtin_cmds.cpp
@@ -181,7 +181,7 @@ static bool print_parse_table(parser const & p, parse_table const & t, bool nud,
     os = os.update(get_pp_preterm_name(), true);
     ios.set_options(os);
     optional<token_table> tt(get_token_table(p.env()));
-    t.for_each([&](unsigned num, notation::transition const * ts, list<pair<unsigned, expr>> const & overloads) {
+    t.for_each([&](unsigned num, notation::transition const * ts, list<notation::accepting> const & overloads) {
             if (uses_some_token(num, ts, tokens)) {
                 io_state_stream out = regular(p.env(), ios);
                 if (tactic_table)
diff --git a/src/frontends/lean/parse_table.cpp b/src/frontends/lean/parse_table.cpp
index 7b8d2e49a..539755d58 100644
--- a/src/frontends/lean/parse_table.cpp
+++ b/src/frontends/lean/parse_table.cpp
@@ -194,6 +194,24 @@ bool action::is_equal(action const & a) const {
     }
     lean_unreachable(); // LCOV_EXCL_LINE
 }
+// Similar to is_equal, but ignores information that is "irrelevant" for parsing.
+// For example, for Exprs actions, get_rec and get_initial are not relevant when parsing the input stream.
+// We only need them when we reach an accepting state.
+bool action::is_equivalent(action const & a) const {
+    if (kind() != a.kind())
+        return false;
+    switch (kind()) {
+    case action_kind::Exprs:
+        return
+            rbp() == a.rbp() &&
+            get_sep() == a.get_sep() &&
+            get_terminator() == a.get_terminator();
+    case action_kind::ScopedExpr:
+        return rbp() == a.rbp();
+    default:
+        return is_equal(a);
+    }
+}
 void action::display(io_state_stream & out) const {
     switch (kind()) {
     case action_kind::Skip:    out << "skip"; break;
@@ -216,15 +234,13 @@ void action::display(io_state_stream & out) const {
         out << "(fold" << (is_fold_right() ? "r" : "l");
         if (get_terminator())
             out << "*";
-        out << " " << rbp() << " " << get_rec();
-        if (get_initial())
-            out << " " << *get_initial();
+        out << " " << rbp() << " `" << get_sep() << "`";
         if (get_terminator())
-            out << *get_terminator();
+            out << " `" << *get_terminator() << "`";
         out << ")";
         break;
     case action_kind::ScopedExpr:
-        out << "(scoped " << rbp() << " " << get_rec() << ")";
+        out << "(scoped " << rbp() << ")";
         break;
     }
 }
@@ -303,7 +319,7 @@ transition replace(transition const & t, std::function<expr(expr const &)> const
 
 struct parse_table::cell {
     bool                                      m_nud;
-    list<pair<unsigned, expr>>                m_accept;
+    list<accepting>                           m_accept;
     name_map<list<pair<action, parse_table>>> m_children;
     MK_LEAN_RC(); // Declare m_rc counter
     void dealloc() { delete this; }
@@ -326,7 +342,7 @@ list<pair<action, parse_table>> parse_table::find(name const & tk) const {
         return list<pair<action, parse_table>>();
 }
 
-list<pair<unsigned, expr>> const & parse_table::is_accepting() const {
+list<accepting> const & parse_table::is_accepting() const {
     return m_ptr->m_accept;
 }
 
@@ -358,40 +374,47 @@ static void validate_transitions(bool nud, unsigned num, transition const * ts,
         throw exception("invalid notation declaration, expression template has more free variables than arguments");
 }
 
-static list<pair<unsigned, expr>> insert(list<pair<unsigned, expr>> const & l, unsigned priority, expr const & a) {
+static list<accepting> insert(list<accepting> const & l, unsigned priority, list<action> const & p, expr const & a) {
     if (!l) {
-        return to_list(mk_pair(priority, a));
-    } else if (priority <= head(l).first) {
-        return cons(mk_pair(priority, a), l);
+        return to_list(accepting(priority, p, a));
+    } else if (priority <= head(l).get_prio()) {
+        return cons(accepting(priority, p, a), l);
     } else {
-        return cons(head(l), insert(tail(l), priority, a));
+        return cons(head(l), insert(tail(l), priority, p, a));
     }
 }
 
 parse_table parse_table::add_core(unsigned num, transition const * ts, expr const & a,
-                                  unsigned priority, bool overload) const {
+                                  unsigned priority, bool overload, buffer<action> & post_buffer) const {
     parse_table r(new cell(*m_ptr));
     if (num == 0) {
+        list<action> postponed = to_list(post_buffer);
         if (!overload) {
-            r.m_ptr->m_accept = to_list(mk_pair(priority, a));
+            r.m_ptr->m_accept = to_list(accepting(priority, postponed, a));
         } else {
-            auto new_accept   = filter(r.m_ptr->m_accept, [&](pair<unsigned, expr> const & p) { return p.second != a; });
-            r.m_ptr->m_accept = insert(new_accept, priority, a);
+            auto new_accept   = filter(r.m_ptr->m_accept, [&](accepting const & p) {
+                    return p.get_expr() != a || p.get_postponed() != postponed;
+                });
+            r.m_ptr->m_accept = insert(new_accept, priority, postponed, a);
         }
     } else {
         list<pair<action, parse_table>> const * it = r.m_ptr->m_children.find(ts->get_token());
+        action const & ts_act = ts->get_action();
+        action_kind k = ts_act.kind();
+        if (k == action_kind::Exprs || k == action_kind::ScopedExpr)
+            post_buffer.push_back(ts_act);
         parse_table new_child;
         if (it) {
             // TODO(Leo): support multiple actions
             action const & act        = head(*it).first;
             parse_table const & child = head(*it).second;
-            if (act.is_equal(ts->get_action())) {
-                new_child = child.add_core(num-1, ts+1, a, priority, overload);
+            if (act.is_equivalent(ts_act)) {
+                new_child = child.add_core(num-1, ts+1, a, priority, overload, post_buffer);
             } else {
-                new_child = parse_table().add_core(num-1, ts+1, a, priority, overload);
+                new_child = parse_table().add_core(num-1, ts+1, a, priority, overload, post_buffer);
             }
         } else {
-            new_child = parse_table().add_core(num-1, ts+1, a, priority, overload);
+            new_child = parse_table().add_core(num-1, ts+1, a, priority, overload, post_buffer);
         }
         r.m_ptr->m_children.insert(ts->get_token(), to_list(mk_pair(ts->get_action(), new_child)));
     }
@@ -461,14 +484,15 @@ optional<head_index> get_head_index(unsigned num, transition const * ts, expr co
 }
 
 parse_table parse_table::add(unsigned num, transition const * ts, expr const & a, unsigned priority, bool overload) const {
+    buffer<action> postponed;
     expr new_a = annotate_macro_subterms(a);
     validate_transitions(is_nud(), num, ts, new_a);
-    return add_core(num, ts, new_a, priority, overload);
+    return add_core(num, ts, new_a, priority, overload, postponed);
 }
 
 void parse_table::for_each(buffer<transition> & ts,
                            std::function<void(unsigned, transition const *,
-                                              list<pair<unsigned, expr>> const &)> const & fn) const {
+                                              list<accepting> const &)> const & fn) const {
     if (!is_nil(m_ptr->m_accept))
         fn(ts.size(), ts.data(), m_ptr->m_accept);
     m_ptr->m_children.for_each([&](name const & k, list<pair<action, parse_table>> const & lst) {
@@ -481,7 +505,7 @@ void parse_table::for_each(buffer<transition> & ts,
 }
 
 void parse_table::for_each(std::function<void(unsigned, transition const *,
-                                              list<pair<unsigned, expr>> const &)> const & fn) const {
+                                              list<accepting> const &)> const & fn) const {
     buffer<transition> tmp;
     for_each(tmp, fn);
 }
@@ -490,9 +514,9 @@ parse_table parse_table::merge(parse_table const & s, bool overload) const {
     if (is_nud() != s.is_nud())
         throw exception("invalid parse table merge, tables have different kinds");
     parse_table r(*this);
-    s.for_each([&](unsigned num, transition const * ts, list<pair<unsigned, expr>> const & accept) {
-            for (pair<unsigned, expr> const & p : accept) {
-                r = r.add(num, ts, p.second, p.first, overload);
+    s.for_each([&](unsigned num, transition const * ts, list<accepting> const & accept) {
+            for (accepting const & acc : accept) {
+                r = r.add(num, ts, acc.get_expr(), acc.get_prio(), overload);
             }
         });
     return r;
@@ -500,7 +524,7 @@ parse_table parse_table::merge(parse_table const & s, bool overload) const {
 
 bool parse_table::is_nud() const { return m_ptr->m_nud; }
 
-void display(io_state_stream & out, unsigned num, transition const * ts, list<pair<unsigned, expr>> const & es, bool nud,
+void display(io_state_stream & out, unsigned num, transition const * ts, list<accepting> const & es, bool nud,
              optional<token_table> const & tt) {
     if (!nud)
         out << "_ ";
@@ -525,24 +549,24 @@ void display(io_state_stream & out, unsigned num, transition const * ts, list<pa
     }
     out << " :=";
     if (length(es) == 1) {
-        out << " " << head(es).second << "\n";
+        out << " " << head(es).get_expr() << "\n";
     } else {
-        buffer<pair<unsigned, expr>> tmp;
+        buffer<accepting> tmp;
         to_buffer(es, tmp);
         out << "\n";
         unsigned i = tmp.size();
         while (i > 0) {
             --i;
             out << "  | ";
-            if (tmp[i].first != LEAN_DEFAULT_NOTATION_PRIORITY)
-                out << "[priority " << tmp[i].first << "] ";
-            out << tmp[i].second << "\n";
+            if (tmp[i].get_prio() != LEAN_DEFAULT_NOTATION_PRIORITY)
+                out << "[priority " << tmp[i].get_prio() << "] ";
+            out << tmp[i].get_expr() << "\n";
         }
     }
 }
 
 void parse_table::display(io_state_stream & out, optional<token_table> const & tt) const {
-    for_each([&](unsigned num, transition const * ts, list<pair<unsigned, expr>> const & es) {
+    for_each([&](unsigned num, transition const * ts, list<accepting> const & es) {
             ::lean::notation::display(out, num, ts, es, is_nud(), tt);
         });
 }
diff --git a/src/frontends/lean/parse_table.h b/src/frontends/lean/parse_table.h
index e14f4718e..8b66f74f3 100644
--- a/src/frontends/lean/parse_table.h
+++ b/src/frontends/lean/parse_table.h
@@ -86,6 +86,8 @@ public:
     std::string const & get_lua_fn() const;
 
     bool is_equal(action const & a) const;
+    bool is_equivalent(action const & a) const;
+
     void display(io_state_stream & out) const;
 
     /** \brief Return true iff the action is not Ext or LuaExt */
@@ -129,7 +131,19 @@ inline bool operator!=(transition const & t1, transition const & t2) {
 /** \brief Apply \c f to expressions embedded in the given transition */
 transition replace(transition const & t, std::function<expr(expr const &)> const & f);
 
-void display(io_state_stream & out, unsigned num, transition const * ts, list<pair<unsigned, expr>> const & es, bool nud,
+class accepting {
+    unsigned     m_prio;
+    list<action> m_postponed; // exprs and scoped_expr actions
+    expr         m_expr;      // resulting expression
+public:
+    accepting(unsigned prio, list<action> const & post, expr const & e):
+        m_prio(prio), m_postponed(post), m_expr(e) {}
+    unsigned get_prio() const { return m_prio; }
+    list<action> const & get_postponed() const { return m_postponed; }
+    expr const & get_expr() const { return m_expr; }
+};
+
+void display(io_state_stream & out, unsigned num, transition const * ts, list<accepting> const & es, bool nud,
              optional<token_table> const & tt);
 
 /**
@@ -140,9 +154,9 @@ class parse_table {
     struct cell;
     cell * m_ptr;
     explicit parse_table(cell * c);
-    parse_table add_core(unsigned num, transition const * ts, expr const & a, unsigned priority, bool overload) const;
+    parse_table add_core(unsigned num, transition const * ts, expr const & a, unsigned priority, bool overload, buffer<action> & postponed) const;
     void for_each(buffer<transition> & ts, std::function<void(unsigned, transition const *,
-                                                              list<pair<unsigned, expr>> const &)> const & fn) const;
+                                                              list<accepting> const &)> const & fn) const;
 public:
     parse_table(bool nud = true);
     parse_table(parse_table const & s);
@@ -156,10 +170,10 @@ public:
     parse_table add(std::initializer_list<transition> const & ts, expr const & a) const {
         return add(ts.size(), ts.begin(), a, LEAN_DEFAULT_NOTATION_PRIORITY, true);
     }
-    parse_table merge(parse_table const & s, bool overload) const;
+    parse_table merge(parse_table const & s, bool overload) const;\
     list<pair<action, parse_table>> find(name const & tk) const;
-    list<pair<unsigned, expr>> const & is_accepting() const;
-    void for_each(std::function<void(unsigned, transition const *, list<pair<unsigned, expr>> const &)> const & fn) const;
+    list<accepting> const & is_accepting() const;
+    void for_each(std::function<void(unsigned, transition const *, list<accepting> const &)> const & fn) const;
 
     void display(io_state_stream & out, optional<token_table> const & tk) const;
 };
diff --git a/src/frontends/lean/parser.cpp b/src/frontends/lean/parser.cpp
index a64733075..4a01edf86 100644
--- a/src/frontends/lean/parser.cpp
+++ b/src/frontends/lean/parser.cpp
@@ -1069,13 +1069,126 @@ bool parser::parse_local_notation_decl(buffer<notation_entry> * nentries) {
     }
 }
 
+void parser::process_postponed(buffer<expr> const & args, bool is_left,
+                               buffer<notation::action_kind> const & kinds,
+                               buffer<list<expr>> const & nargs,
+                               buffer<expr> const & ps,
+                               buffer<pair<unsigned, pos_info>> const & scoped_info,
+                               list<notation::action> const & postponed,
+                               pos_info const & p,
+                               buffer<expr> & new_args) {
+    unsigned args_idx = 0;
+    if (is_left) {
+        new_args.push_back(args[0]);
+        args_idx = 1;
+    }
+    unsigned kinds_idx  = 0;
+    unsigned nargs_idx  = 0;
+    unsigned scoped_idx = 0;
+    list<notation::action> it = postponed;
+    for (; kinds_idx < kinds.size(); kinds_idx++, args_idx++) {
+        auto k = kinds[kinds_idx];
+        switch (k) {
+        case notation::action_kind::Exprs: {
+            if (!it || head(it).kind() != k || nargs_idx >= nargs.size())
+                throw exception("ill-formed parsing tables");
+            notation::action const & a = head(it);
+            buffer<expr> r_args;
+            to_buffer(nargs[nargs_idx], r_args);
+            nargs_idx++;
+            expr rec = copy_with_new_pos(a.get_rec(), p);
+            expr r;
+            if (a.is_fold_right()) {
+                if (a.get_initial()) {
+                    r = instantiate_rev(copy_with_new_pos(*a.get_initial(), p), new_args.size(), new_args.data());
+                } else {
+                    r = r_args.back();
+                    r_args.pop_back();
+                }
+                unsigned i = r_args.size();
+                while (i > 0) {
+                    --i;
+                    new_args.push_back(r_args[i]);
+                    new_args.push_back(r);
+                    r = instantiate_rev(rec, new_args.size(), new_args.data());
+                    new_args.pop_back(); new_args.pop_back();
+                }
+            } else {
+                unsigned fidx = 0;
+                if (a.get_initial()) {
+                    r = instantiate_rev(copy_with_new_pos(*a.get_initial(), p), new_args.size(), new_args.data());
+                } else {
+                    r = r_args[0];
+                    fidx++;
+                }
+                for (unsigned i = fidx; i < r_args.size(); i++) {
+                    new_args.push_back(r_args[i]);
+                    new_args.push_back(r);
+                    r = instantiate_rev(rec, new_args.size(), new_args.data());
+                    new_args.pop_back(); new_args.pop_back();
+                }
+            }
+            new_args.push_back(r);
+            it = tail(it);
+            break;
+        }
+        case notation::action_kind::ScopedExpr: {
+            if (!it || head(it).kind() != k || scoped_idx >= scoped_info.size())
+                throw exception("ill-formed parsing tables");
+            expr r = args[args_idx];
+            notation::action const & a = head(it);
+            bool no_cache = false;
+            unsigned ps_sz      = scoped_info[scoped_idx].first;
+            pos_info binder_pos = scoped_info[scoped_idx].second;
+            scoped_idx++;
+            if (is_var(a.get_rec(), 0)) {
+                if (a.use_lambda_abstraction())
+                    r = Fun(ps_sz, ps.data(), r, no_cache);
+                else
+                    r = Pi(ps_sz, ps.data(), r, no_cache);
+                r = rec_save_pos(r, binder_pos);
+            } else {
+                expr rec = copy_with_new_pos(a.get_rec(), p);
+                unsigned i = ps_sz;
+                while (i > 0) {
+                    --i;
+                    expr const & l = ps[i];
+                    if (a.use_lambda_abstraction())
+                        r = Fun(l, r, no_cache);
+                    else
+                        r = Pi(l, r, no_cache);
+                    r = save_pos(r, binder_pos);
+                    new_args.push_back(r);
+                    r = instantiate_rev(rec, new_args.size(), new_args.data());
+                    new_args.pop_back();
+                }
+            }
+            new_args.push_back(r);
+            it = tail(it);
+            break;
+        }
+        default:
+            new_args.push_back(args[args_idx]);
+            break;
+        }
+    }
+}
+
 expr parser::parse_notation_core(parse_table t, expr * left, bool as_tactic) {
     lean_assert(curr() == scanner::token_kind::Keyword);
     auto p = pos();
     if (m_info_manager)
         m_info_manager->add_symbol_info(p.first, p.second, get_token_info().token());
-    buffer<expr>  args;
-    buffer<expr>  ps;
+    buffer<expr>                     args;
+    buffer<notation::action_kind>    kinds;
+    buffer<list<expr>>               nargs; // nary args
+    buffer<expr>                     ps;
+    buffer<pair<unsigned, pos_info>> scoped_info; // size of ps and binder_pos for scoped_exprs
+    // Invariants:
+    //  args.size()  == kinds.size() if not left
+    //  args.size()  == kinds.size()+1 if left
+    //  nargs.size() == number of Exprs in kinds
+    //  scoped_info.size() == number of Scoped_Exprs in kinds
     local_environment lenv(m_env);
     pos_info binder_pos;
     if (left)
@@ -1095,6 +1208,7 @@ expr parser::parse_notation_core(parse_table t, expr * left, bool as_tactic) {
         case notation::action_kind::Expr:
             next();
             args.push_back(parse_expr_or_tactic(a.rbp(), as_tactic));
+            kinds.push_back(a.kind());
             break;
         case notation::action_kind::Exprs: {
             next();
@@ -1114,39 +1228,9 @@ expr parser::parse_notation_core(parse_table t, expr * left, bool as_tactic) {
                     throw parser_error(sstream() << "invalid composite expression, '" << *terminator << "' expected", pos());
                 }
             }
-            expr rec = copy_with_new_pos(a.get_rec(), p);
-            expr r;
-            if (a.is_fold_right()) {
-                if (a.get_initial()) {
-                    r = instantiate_rev(copy_with_new_pos(*a.get_initial(), p), args.size(), args.data());
-                } else {
-                    r = r_args.back();
-                    r_args.pop_back();
-                }
-                unsigned i = r_args.size();
-                while (i > 0) {
-                    --i;
-                    args.push_back(r_args[i]);
-                    args.push_back(r);
-                    r = instantiate_rev(rec, args.size(), args.data());
-                    args.pop_back(); args.pop_back();
-                }
-            } else {
-                unsigned fidx = 0;
-                if (a.get_initial()) {
-                    r = instantiate_rev(copy_with_new_pos(*a.get_initial(), p), args.size(), args.data());
-                } else {
-                    r = r_args[0];
-                    fidx++;
-                }
-                for (unsigned i = fidx; i < r_args.size(); i++) {
-                    args.push_back(r_args[i]);
-                    args.push_back(r);
-                    r = instantiate_rev(rec, args.size(), args.data());
-                    args.pop_back(); args.pop_back();
-                }
-            }
-            args.push_back(r);
+            args.push_back(expr()); // placeholder
+            kinds.push_back(a.kind());
+            nargs.push_back(to_list(r_args));
             break;
         }
         case notation::action_kind::Binder:
@@ -1162,30 +1246,9 @@ expr parser::parse_notation_core(parse_table t, expr * left, bool as_tactic) {
         case notation::action_kind::ScopedExpr: {
             next();
             expr r   = parse_scoped_expr(ps, lenv, a.rbp());
-            bool no_cache = false;
-            if (is_var(a.get_rec(), 0)) {
-                if (a.use_lambda_abstraction())
-                    r = Fun(ps, r, no_cache);
-                else
-                    r = Pi(ps, r, no_cache);
-                r = rec_save_pos(r, binder_pos);
-            } else {
-                expr rec = copy_with_new_pos(a.get_rec(), p);
-                unsigned i = ps.size();
-                while (i > 0) {
-                    --i;
-                    expr const & l = ps[i];
-                    if (a.use_lambda_abstraction())
-                        r = Fun(l, r, no_cache);
-                    else
-                        r = Pi(l, r, no_cache);
-                    r = save_pos(r, binder_pos);
-                    args.push_back(r);
-                    r = instantiate_rev(rec, args.size(), args.data());
-                    args.pop_back();
-                }
-            }
             args.push_back(r);
+            kinds.push_back(a.kind());
+            scoped_info.push_back(mk_pair(ps.size(), binder_pos));
             break;
         }
         case notation::action_kind::LuaExt:
@@ -1207,17 +1270,18 @@ expr parser::parse_notation_core(parse_table t, expr * left, bool as_tactic) {
                         throw parser_error(sstream() << "failed to use notation implemented in Lua, value returned by function '"
                                            << a.get_lua_fn() << "' is not an expression", p);
                     args.push_back(rec_save_pos(to_expr(L, -1), p));
+                    kinds.push_back(a.kind());
                     lua_pop(L, 1);
                 });
             break;
         case notation::action_kind::Ext:
             args.push_back(a.get_parse_fn()(*this, args.size(), args.data(), p));
+            kinds.push_back(a.kind());
             break;
         }
-
         t = head(r).second; // TODO(Leo):
     }
-    list<pair<unsigned, expr>> const & as = t.is_accepting();
+    list<notation::accepting> const & as = t.is_accepting();
     save_overload_notation(as, p);
     if (is_nil(as)) {
         if (p == pos())
@@ -1225,16 +1289,28 @@ expr parser::parse_notation_core(parse_table t, expr * left, bool as_tactic) {
         else
             throw parser_error(sstream() << "invalid expression starting at " << p.first << ":" << p.second, pos());
     }
+    lean_assert(left  || args.size() == kinds.size());
+    lean_assert(!left || args.size() == kinds.size() + 1);
     buffer<expr> cs;
-    for (pair<unsigned, expr> const & a : as) {
-        expr r = copy_with_new_pos(a.second, p);
-        if (args.empty()) {
-            // Notation does not have arguments. Thus, the info-manager should treat is as a single thing.
-            r = mk_notation_info(r, r.get_tag());
+    for (notation::accepting const & a : as) {
+        expr r = copy_with_new_pos(a.get_expr(), p);
+        list<notation::action> const & postponed = a.get_postponed();
+        if (postponed) {
+            buffer<expr> new_args;
+            process_postponed(args, left, kinds, nargs, ps, scoped_info, postponed, p, new_args);
+            lean_assert(!args.empty());
+            r = instantiate_rev(r, new_args.size(), new_args.data());
+            cs.push_back(r);
         } else {
-            r = instantiate_rev(r, args.size(), args.data());
+            lean_assert(nargs.empty() && ps_sz.empty());
+            if (args.empty()) {
+                // Notation does not have arguments. Thus, the info-manager should treat is as a single thing.
+                r = mk_notation_info(r, r.get_tag());
+            } else {
+                r = instantiate_rev(r, args.size(), args.data());
+            }
+            cs.push_back(r);
         }
-        cs.push_back(r);
     }
     expr r = save_pos(mk_choice(cs.size(), cs.data()), p);
     save_type_info(r);
@@ -2110,10 +2186,12 @@ void parser::save_overload_notation(list<expr> const & as, pos_info const & p) {
         return;
     m_info_manager->add_overload_notation_info(p.first, p.second, as);
 }
-void parser::save_overload_notation(list<pair<unsigned, expr>> const & as, pos_info const & p) {
+void parser::save_overload_notation(list<notation::accepting> const & as, pos_info const & p) {
     if (!m_info_manager || length(as) <= 1)
         return;
-    list<expr> new_as = map2<expr, pair<unsigned, expr>, std::function<expr(pair<unsigned, expr> const &)>>(as, [](pair<unsigned, expr> const & p) { return p.second; });
+    list<expr> new_as =
+        map2<expr, notation::accepting, std::function<expr(notation::accepting const &)>>
+        (as, [](notation::accepting const & p) { return p.get_expr(); });
     save_overload_notation(new_as, p);
 }
 void parser::save_identifier_info(pos_info const & p, name const & full_id) {
diff --git a/src/frontends/lean/parser.h b/src/frontends/lean/parser.h
index b4f57004a..01c8794cf 100644
--- a/src/frontends/lean/parser.h
+++ b/src/frontends/lean/parser.h
@@ -202,6 +202,9 @@ class parser {
     void parse_script(bool as_expr = false);
     bool parse_commands();
     unsigned curr_lbp_core(bool as_tactic) const;
+    void process_postponed(buffer<expr> const & args, bool is_left, buffer<notation::action_kind> const & kinds,
+                           buffer<list<expr>> const & nargs, buffer<expr> const & ps, buffer<pair<unsigned, pos_info>> const & scoped_info,
+                           list<notation::action> const & postponed, pos_info const & p, buffer<expr> & new_args);
     expr parse_notation_core(parse_table t, expr * left, bool as_tactic);
     expr parse_expr_or_tactic(unsigned rbp, bool as_tactic) {
         return as_tactic ? parse_tactic(rbp) : parse_expr(rbp);
@@ -234,7 +237,7 @@ class parser {
     void save_snapshot();
     void save_overload(expr const & e);
     void save_overload_notation(list<expr> const & as, pos_info const & p);
-    void save_overload_notation(list<pair<unsigned, expr>> const & as, pos_info const & p);
+    void save_overload_notation(list<notation::accepting> const & as, pos_info const & p);
     void save_type_info(expr const & e);
     void save_pre_info_data();
     void save_identifier_info(pos_info const & p, name const & full_id);
diff --git a/tests/lean/binder_overload.lean b/tests/lean/binder_overload.lean
new file mode 100644
index 000000000..56266e0e5
--- /dev/null
+++ b/tests/lean/binder_overload.lean
@@ -0,0 +1,11 @@
+import data.set data.finset
+open nat set finset
+
+constant S : set nat
+constant s : finset nat
+
+check {x ∈ S | x > 0}
+check {x ∈ s | x > 0}
+set_option pp.all true
+check {x ∈ S | x > 0}
+check {x ∈ s | x > 0}
diff --git a/tests/lean/binder_overload.lean.expected.out b/tests/lean/binder_overload.lean.expected.out
new file mode 100644
index 000000000..743b02443
--- /dev/null
+++ b/tests/lean/binder_overload.lean.expected.out
@@ -0,0 +1,7 @@
+{x : ℕ ∈ S| x > 0} : set ℕ
+{x : ℕ ∈ s| x > 0} : finset ℕ
+@set.sep.{1} nat (λ (x : nat), nat.gt x (nat.of_num 0)) S : set.{1} nat
+@finset.sep.{1} nat (λ (a b : nat), nat.has_decidable_eq a b) (λ (x : nat), nat.gt x (nat.of_num 0))
+  (λ (a : nat), nat.decidable_ge a (nat.succ (nat.of_num 0)))
+  s :
+  finset.{1} nat
diff --git a/tests/lean/nary_overload.lean b/tests/lean/nary_overload.lean
new file mode 100644
index 000000000..97fe35e85
--- /dev/null
+++ b/tests/lean/nary_overload.lean
@@ -0,0 +1,21 @@
+prelude
+
+constant vec.{l} : Type.{l} → Type.{l}
+constant lst.{l} : Type.{l} → Type.{l}
+constant vec.nil {A : Type} : vec A
+constant lst.nil {A : Type} : lst A
+constant vec.cons {A : Type} : A → vec A → vec A
+constant lst.cons {A : Type} : A → lst A → lst A
+
+notation `[` l:(foldr `,` (h t, vec.cons h t) vec.nil `]`) := l
+notation `[` l:(foldr `,` (h t, lst.cons h t) lst.nil `]`) := l
+
+constant A : Type.{1}
+variables a b c : A
+
+check [a, b, c]
+check ([a, b, c] : vec A)
+check ([a, b, c] : lst A)
+set_option pp.all true
+check ([a, b, c] : vec A)
+check ([a, b, c] : lst A)
diff --git a/tests/lean/nary_overload.lean.expected.out b/tests/lean/nary_overload.lean.expected.out
new file mode 100644
index 000000000..1ee8f792e
--- /dev/null
+++ b/tests/lean/nary_overload.lean.expected.out
@@ -0,0 +1,5 @@
+[a, b, c] : vec A
+[a, b, c] : vec A
+[a, b, c] : lst A
+@vec.cons.{1} A a (@vec.cons.{1} A b (@vec.cons.{1} A c (@vec.nil.{1} A))) : vec.{1} A
+@lst.cons.{1} A a (@lst.cons.{1} A b (@lst.cons.{1} A c (@lst.nil.{1} A))) : lst.{1} A
diff --git a/tests/lean/nary_overload2.lean b/tests/lean/nary_overload2.lean
new file mode 100644
index 000000000..483cc9271
--- /dev/null
+++ b/tests/lean/nary_overload2.lean
@@ -0,0 +1,17 @@
+import data.list data.examples.vector
+open nat list vector
+
+check [1, 2, 3]
+check ([1, 2, 3] : vector nat _)
+check ([1, 2, 3] : list nat)
+check (#list [1, 2, 3])
+check (#vector [1, 2, 3])
+
+example : (#vector [1, 2, 3]) = [1, 2, 3] :=
+rfl
+
+example : (#vector [1, 2, 3]) = ([1, 2, 3] : vector nat _) :=
+rfl
+
+example : (#list [1, 2, 3]) = ([1, 2, 3] : list nat) :=
+rfl
diff --git a/tests/lean/nary_overload2.lean.expected.out b/tests/lean/nary_overload2.lean.expected.out
new file mode 100644
index 000000000..d331da9b6
--- /dev/null
+++ b/tests/lean/nary_overload2.lean.expected.out
@@ -0,0 +1,5 @@
+[1, 2, 3] : list num
+[1, 2, 3] : vector ℕ 3
+[1, 2, 3] : list ℕ
+[1, 2, 3] : list num
+[1, 2, 3] : vector num 3
diff --git a/tests/lean/run/list_vector_overload.lean b/tests/lean/run/list_vector_overload.lean
new file mode 100644
index 000000000..49f481620
--- /dev/null
+++ b/tests/lean/run/list_vector_overload.lean
@@ -0,0 +1,10 @@
+import data.list data.examples.vector
+open list vector nat
+
+variables (A : Type) (a b c : A)
+
+check [a, b, c]
+check (#list [a, b, c])
+check (#vector [a, b, c])
+check ([a, b, c] : vector A _)
+check ([a, b, c] : list A)