diff --git a/src/frontends/lean/CMakeLists.txt b/src/frontends/lean/CMakeLists.txt
index 6c55416bf5..7faf89807f 100644
--- a/src/frontends/lean/CMakeLists.txt
+++ b/src/frontends/lean/CMakeLists.txt
@@ -1,7 +1,7 @@
 add_library(lean_frontend OBJECT tokens.cpp
 token_table.cpp scanner.cpp parse_table.cpp parser_config.cpp
 parser.cpp builtin_cmds.cpp builtin_exprs.cpp
-notation_cmd.cpp calc.cpp decl_cmds.cpp util.cpp
+notation_cmd.cpp decl_cmds.cpp util.cpp
 inductive_cmds.cpp dependencies.cpp
 pp.cpp structure_cmd.cpp structure_instance.cpp
 init_module.cpp type_util.cpp decl_attributes.cpp
diff --git a/src/frontends/lean/builtin_cmds.cpp b/src/frontends/lean/builtin_cmds.cpp
index 3516e48716..07a63638a5 100644
--- a/src/frontends/lean/builtin_cmds.cpp
+++ b/src/frontends/lean/builtin_cmds.cpp
@@ -40,7 +40,6 @@ Author: Leonardo de Moura
 #include "library/compiler/vm_compiler.h"
 #include "frontends/lean/util.h"
 #include "frontends/lean/parser.h"
-#include "frontends/lean/calc.h"
 #include "frontends/lean/notation_cmd.h"
 #include "frontends/lean/elaborator.h"
 #include "frontends/lean/inductive_cmds.h"
diff --git a/src/frontends/lean/builtin_exprs.cpp b/src/frontends/lean/builtin_exprs.cpp
index 7fa9e2dc72..d36c6e5aa3 100644
--- a/src/frontends/lean/builtin_exprs.cpp
+++ b/src/frontends/lean/builtin_exprs.cpp
@@ -24,7 +24,6 @@ Author: Leonardo de Moura
 #include "frontends/lean/builtin_exprs.h"
 #include "frontends/lean/decl_cmds.h"
 #include "frontends/lean/token_table.h"
-#include "frontends/lean/calc.h"
 #include "frontends/lean/parser.h"
 #include "frontends/lean/util.h"
 #include "frontends/lean/tokens.h"
@@ -513,10 +512,6 @@ static expr parse_if_then_else(parser & p, unsigned, expr const *, pos_info cons
         return parse_ite(p, ie.second, pos);
 }
 
-static expr parse_calc_expr(parser & p, unsigned, expr const *, pos_info const &) {
-    return parse_calc(p);
-}
-
 static expr parse_explicit_core(parser & p, pos_info const & pos, bool partial) {
     if (!p.curr_is_identifier())
         return p.parser_error_or_expr({sstream() << "invalid '" << (partial ? "@@" : "@") << "', identifier expected", p.pos()});
@@ -1044,7 +1039,6 @@ parse_table init_nud_table() {
     r = r.add({transition("Sort", mk_ext_action(parse_Sort))}, x0);
     r = r.add({transition("Sort*", mk_ext_action(parse_Sort_star))}, x0);
     r = r.add({transition("let", mk_ext_action(parse_let_expr))}, x0);
-    r = r.add({transition("calc", mk_ext_action(parse_calc_expr))}, x0);
     r = r.add({transition("@", mk_ext_action(parse_explicit_expr))}, x0);
     r = r.add({transition("@@", mk_ext_action(parse_partial_explicit_expr))}, x0);
     r = r.add({transition("sorry", mk_ext_action(parse_sorry))}, x0);
diff --git a/src/frontends/lean/calc.cpp b/src/frontends/lean/calc.cpp
deleted file mode 100644
index da1c63fe86..0000000000
--- a/src/frontends/lean/calc.cpp
+++ /dev/null
@@ -1,175 +0,0 @@
-/*
-Copyright (c) 2014 Microsoft Corporation. All rights reserved.
-Released under Apache 2.0 license as described in the file LICENSE.
-
-Author: Leonardo de Moura
-*/
-#include <string>
-#include <utility>
-#include <algorithm>
-#include <vector>
-#include "runtime/interrupt.h"
-#include "runtime/optional.h"
-#include "util/name.h"
-#include "util/rb_map.h"
-#include "util/buffer.h"
-#include "kernel/environment.h"
-#include "library/relation_manager.h"
-#include "library/module.h"
-#include "library/constants.h"
-#include "library/placeholder.h"
-#include "library/explicit.h"
-#include "library/annotation.h"
-#include "library/sorry.h"
-#include "frontends/lean/parser.h"
-#include "frontends/lean/util.h"
-#include "frontends/lean/tokens.h"
-#include "frontends/lean/typed_expr.h"
-#include "frontends/lean/choice.h"
-
-namespace lean {
-static name * g_calc_name  = nullptr;
-
-static expr mk_calc_annotation_core(expr const & e) { return mk_annotation(*g_calc_name, e); }
-static expr mk_calc_annotation(expr const & pr) {
-    if (/* is_by(pr) || is_begin_end_annotation(pr) || */ is_sorry(pr)) {
-        return pr;
-    } else {
-        return mk_calc_annotation_core(pr);
-    }
-}
-bool is_calc_annotation(expr const & e) { return is_annotation(e, *g_calc_name); }
-
-typedef std::tuple<name, expr, expr>  calc_pred;
-typedef pair<calc_pred, expr>         calc_step;
-inline name const & pred_op(calc_pred const & p) { return std::get<0>(p); }
-inline expr const & pred_lhs(calc_pred const & p) { return std::get<1>(p); }
-inline expr const & pred_rhs(calc_pred const & p) { return std::get<2>(p); }
-inline calc_pred const & step_pred(calc_step const & s) { return s.first; }
-inline expr const & step_proof(calc_step const & s) { return s.second; }
-
-// Check whether e is of the form (f ...) where f is a constant. If it is return f.
-static calc_pred decode_expr(expr const & e, pos_info const & pos) {
-    if (is_choice(e)) {
-        throw parser_error("invalid 'calc' expression, overloaded expressions are not supported", pos);
-    } else {
-        buffer<expr> args;
-        expr const & fn = get_nested_annotation_arg(get_app_args(e, args));
-        unsigned nargs  = args.size();
-        if (!is_constant(fn) || nargs < 2) {
-            throw parser_error("invalid 'calc' expression, expression must be a function application 'f a_1 ... a_k' "
-                               "where f is a constant, and k >= 2", pos);
-        }
-        return calc_pred(const_name(fn), args[nargs-2], args[nargs-1]);
-    }
-}
-
-// Create (op _ _ ... _)
-static expr mk_op_fn(parser & p, name const & op, unsigned num_placeholders, pos_info const & pos) {
-    expr r = p.save_pos(mk_explicit(mk_constant(op)), pos);
-    while (num_placeholders > 0) {
-        num_placeholders--;
-        r = p.mk_app(r, p.save_pos(mk_expr_placeholder(), pos), pos);
-    }
-    return r;
-}
-
-static calc_step parse_calc_proof(parser & p, calc_pred const & pred) {
-    p.check_token_next(get_colon_tk(), "invalid 'calc' expression, ':' expected");
-    auto pos = p.pos();
-    expr pr  = p.parse_expr();
-    return calc_step(pred, p.save_pos(mk_calc_annotation(pr), pos));
-}
-
-static unsigned get_arity_of(parser & p, name const & op) {
-    return get_arity(p.env().get(op).get_type());
-}
-
-static calc_step join(parser & p, calc_step const & s1, calc_step const & s2, pos_info const & pos) {
-    environment const & env = p.env();
-    calc_pred const & pred1 = step_pred(s1);
-    expr const & fst        = step_proof(s1);
-    calc_pred const & pred2 = step_pred(s2);
-    expr const & snd        = step_proof(s2);
-    auto trans_it = get_trans_extra_info(env, pred_op(pred1), pred_op(pred2));
-    if (trans_it) {
-        expr trans    = mk_op_fn(p, trans_it->m_name, trans_it->m_num_args-5, pos);
-        expr trans_pr = p.mk_app({trans, pred_lhs(pred1), pred_rhs(pred1), pred_rhs(pred2), fst, snd}, pos);
-        return calc_step(calc_pred(trans_it->m_res_relation, pred_lhs(pred1), pred_rhs(pred2)), trans_pr);
-    } else if (pred_op(pred1) == get_eq_name()) {
-        expr trans_right = mk_op_fn(p, get_trans_rel_right_name(), 1, pos);
-        expr R           = mk_op_fn(p, pred_op(pred2), get_arity_of(p, pred_op(pred2))-2, pos);
-        expr trans_pr    = p.mk_app({trans_right, pred_lhs(pred1), pred_rhs(pred1), pred_rhs(pred2), R, fst, snd}, pos);
-        return calc_step(calc_pred(pred_op(pred2), pred_lhs(pred1), pred_rhs(pred2)), trans_pr);
-    } else if (pred_op(pred2) == get_eq_name()) {
-        expr trans_left = mk_op_fn(p, get_trans_rel_left_name(), 1, pos);
-        expr R          = mk_op_fn(p, pred_op(pred1), get_arity_of(p, pred_op(pred1))-2, pos);
-        expr trans_pr   = p.mk_app({trans_left, pred_lhs(pred1), pred_rhs(pred1), pred_rhs(pred2), R, fst, snd}, pos);
-        return calc_step(calc_pred(pred_op(pred1), pred_lhs(pred1), pred_rhs(pred2)), trans_pr);
-    } else {
-        throw parser_error("invalid 'calc' expression, transitivity rule is not defined for current step", pos);
-    }
-}
-
-static expr mk_implies(parser & p, expr const & lhs, expr const & rhs, pos_info const & pos) {
-    return p.mk_app(p.mk_app(p.save_pos(mk_constant(get_implies_name()), pos), lhs, pos), rhs, pos);
-}
-
-static expr parse_pred(parser & p) {
-    auto pos       = p.pos();
-    expr pred      = p.parse_expr();
-    if (is_arrow(pred))
-        return mk_implies(p, binding_domain(pred), binding_body(pred), pos);
-    else
-        return pred;
-}
-
-static expr parse_next_pred(parser & p, expr const & dummy) {
-    auto pos       = p.pos();
-    if (p.curr_is_token(get_arrow_tk())) {
-        p.next();
-        expr rhs  = p.parse_expr();
-        return mk_implies(p, dummy, rhs, pos);
-    } else {
-        return p.parse_led(dummy);
-    }
-}
-
-expr parse_calc(parser & p) {
-    auto pos = p.pos();
-    expr first_pred_expr = parse_pred(p);
-    calc_pred pred       = decode_expr(first_pred_expr, pos);
-    calc_step step       = parse_calc_proof(p, pred);
-    bool single          = true; // true if calc has only one step
-    expr dummy;
-
-    while (p.curr_is_token(get_ellipsis_tk())) {
-        single = false;
-        pos    = p.pos();
-        p.next();
-        expr new_pred_expr = parse_next_pred(p, dummy);
-        try {
-            calc_pred new_pred = decode_expr(new_pred_expr, pos);
-            new_pred           = calc_pred(pred_op(new_pred), pred_rhs(pred), pred_rhs(new_pred));
-            calc_step new_step = parse_calc_proof(p, new_pred);
-            step               = join(p, step, new_step, pos);
-        } catch (parser_error ex) {
-            p.maybe_throw_error(std::move(ex));
-        }
-    }
-
-    if (single) {
-        return p.save_pos(mk_typed_expr(first_pred_expr, step_proof(step)), pos);
-    } else {
-        return step_proof(step);
-    }
-}
-
-void initialize_calc() {
-    g_calc_name = new name("calc");
-    register_annotation(*g_calc_name);
-}
-void finalize_calc() {
-    delete g_calc_name;
-}
-}
diff --git a/src/frontends/lean/calc.h b/src/frontends/lean/calc.h
deleted file mode 100644
index bbb6aba473..0000000000
--- a/src/frontends/lean/calc.h
+++ /dev/null
@@ -1,15 +0,0 @@
-/*
-Copyright (c) 2014 Microsoft Corporation. All rights reserved.
-Released under Apache 2.0 license as described in the file LICENSE.
-
-Author: Leonardo de Moura
-*/
-#pragma once
-#include "frontends/lean/cmd_table.h"
-namespace lean {
-class parser;
-expr parse_calc(parser & p);
-bool is_calc_annotation(expr const & e);
-void initialize_calc();
-void finalize_calc();
-}
diff --git a/src/frontends/lean/init_module.cpp b/src/frontends/lean/init_module.cpp
index f8bd619194..46d44e83d8 100644
--- a/src/frontends/lean/init_module.cpp
+++ b/src/frontends/lean/init_module.cpp
@@ -7,7 +7,6 @@ Author: Leonardo de Moura
 #include "frontends/lean/tokens.h"
 #include "frontends/lean/parser.h"
 #include "frontends/lean/parser_config.h"
-#include "frontends/lean/calc.h"
 #include "frontends/lean/builtin_cmds.h"
 #include "frontends/lean/builtin_exprs.h"
 #include "frontends/lean/inductive_cmds.h"
@@ -42,7 +41,6 @@ void initialize_frontend_lean_module() {
     initialize_scanner();
     initialize_parser();
     initialize_parser_config();
-    initialize_calc();
     initialize_inductive_cmds();
     initialize_structure_instance();
     initialize_pp();
@@ -69,7 +67,6 @@ void finalize_frontend_lean_module() {
     finalize_pp();
     finalize_structure_instance();
     finalize_inductive_cmds();
-    finalize_calc();
     finalize_parser_config();
     finalize_parser();
     finalize_scanner();
diff --git a/src/frontends/lean/token_table.cpp b/src/frontends/lean/token_table.cpp
index a2909c98c4..ad2ef93637 100644
--- a/src/frontends/lean/token_table.cpp
+++ b/src/frontends/lean/token_table.cpp
@@ -92,7 +92,7 @@ void init_token_table(token_table & t) {
          {"(:", g_max_prec}, {":)", 0}, {".(", g_max_prec}, {"._", g_max_prec},
          {"⟨", g_max_prec}, {"⟩", 0}, {"^", 0},
          {"//", 0}, {"|", 0}, {"with", 0}, {"without", 0}, {"..", 0}, {"...", 0}, {",", 0},
-         {".", 0}, {":", 0}, {"!", 0}, {"calc", 0}, {":=", 0}, {"--", 0}, {"#", g_max_prec},
+         {".", 0}, {":", 0}, {"!", 0}, {":=", 0}, {"--", 0}, {"#", g_max_prec},
          {"/-", 0}, {"/--", 0}, {"/-!", 0}, {"begin", g_max_prec}, {"using", 0},
          {"@@", g_max_prec}, {"@", g_max_prec},
          {"sorry", g_max_prec}, {"+", g_plus_prec}, {"->", g_arrow_prec}, {"<-", 0},