expr collect(expr const & e) {
return replace(e, [&](expr const & e, unsigned) {
if (is_metavar(e)) {
name const & id = mlocal_name(e);
if (auto r = m_meta_to_param.find(id)) {
return some_expr(*r);
} else {
expr type = m_ctx.infer(e);
expr x = m_ctx.push_local("_x", type);
m_meta_to_param.insert(id, x);
m_meta_to_param_inv.insert(mlocal_name(x), e);
m_params.push_back(x);
return some_expr(x);
}
} else if (is_local(e)) {
name const & id = mlocal_name(e);
if (!m_found_local.contains(id)) {
m_found_local.insert(id);
m_params.push_back(e);
}
} else if (is_sort(e)) {
return some_expr(update_sort(e, collect(sort_level(e))));
} else if (is_constant(e)) {
return some_expr(update_constant(e, collect(const_levels(e))));
}
return none_expr();
});
}
level collect(level const & l) {
return replace(l, [&](level const & l) {
if (is_meta(l)) {
name const & id = meta_id(l);
if (auto r = m_univ_meta_to_param.find(id)) {
return some_level(*r);
} else {
name n = m_prefix.append_after(m_next_idx);
m_next_idx++;
level new_r = mk_param_univ(n);
m_univ_meta_to_param.insert(id, new_r);
m_univ_meta_to_param_inv.insert(n, l);
m_level_params.push_back(n);
return some_level(new_r);
}
} else if (is_param(l)) {
name const & id = param_id(l);
if (!m_found_univ_params.contains(id)) {
m_found_univ_params.insert(id);
m_level_params.push_back(id);
}
}
return none_level();
});
}
void get_constructor_info(name const & n, buffer<bool> & rel_fields) {
if (auto r = m_constructor_info.find(n)) {
to_buffer(*r, rel_fields);
} else {
get_constructor_relevant_fields(env(), n, rel_fields);
m_constructor_info.insert(n, to_list(rel_fields));
}
}
// Rename universe parameters occurring in l using the given mapping
static level rename_param_levels(level const & l, name_map<name> const & param_name_map) {
return replace(l, [&](level const & l) {
if (is_param(l)) {
if (auto it = param_name_map.find(param_id(l))) {
return some_level(mk_param_univ(*it));
}
}
return none_level();
});
}
// Return a new ls s.t. there is no conflict between the names in ls and globals.
// Store the mapping between old and new names in param_name_map.
static level_param_names sanitize_level_params(level_param_names const & ls, name_set const & globals,
name_map<name> & param_name_map) {
buffer<name> new_params;
for (name const & n : ls) {
if (globals.contains(n)) {
unsigned i = 1;
name new_n = n.append_after(i);
while (globals.contains(new_n)) {
i++;
name new_n = n.append_after(i);
}
param_name_map.insert(n, new_n);
new_params.push_back(new_n);
} else {
new_params.push_back(n);
}
}
if (param_name_map.empty())
return ls;
return to_list(new_params.begin(), new_params.end());
}
pair<environment, expr> operator()(name const & c, expr const & type, expr const & value, bool is_lemma, optional<bool> const & is_meta) {
lean_assert(!is_lemma || is_meta);
lean_assert(!is_lemma || *is_meta == false);
expr new_type = collect(m_ctx.instantiate_mvars(type));
expr new_value = collect(m_ctx.instantiate_mvars(value));
buffer<expr> norm_params;
collect_and_normalize_dependencies(norm_params);
new_type = replace_locals(new_type, m_params, norm_params);
new_value = replace_locals(new_value, m_params, norm_params);
expr def_type = m_ctx.mk_pi(norm_params, new_type);
expr def_value = m_ctx.mk_lambda(norm_params, new_value);
environment const & env = m_ctx.env();
declaration d;
if (is_lemma) {
d = mk_theorem(c, to_list(m_level_params), def_type, def_value);
} else if (is_meta) {
bool use_self_opt = true;
d = mk_definition(env, c, to_list(m_level_params), def_type, def_value, use_self_opt, !*is_meta);
} else {
bool use_self_opt = true;
d = mk_definition_inferring_trusted(env, c, to_list(m_level_params), def_type, def_value, use_self_opt);
}
environment new_env = module::add(env, check(env, d, true));
buffer<level> ls;
for (name const & n : m_level_params) {
if (level const * l = m_univ_meta_to_param_inv.find(n))
ls.push_back(*l);
else
ls.push_back(mk_param_univ(n));
}
buffer<expr> ps;
for (expr const & x : m_params) {
if (expr const * m = m_meta_to_param_inv.find(mlocal_name(x)))
ps.push_back(*m);
else
ps.push_back(x);
}
expr r = mk_app(mk_constant(c, to_list(ls)), ps);
return mk_pair(new_env, r);
}