lean2/src/library/tactic/generalize_tactic.cpp

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/*
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 "kernel/abstract.h"
#include "library/reducible.h"
#include "library/tactic/elaborate.h"
#include "library/tactic/expr_to_tactic.h"
namespace lean {
tactic generalize_tactic(elaborate_fn const & elab, expr const & e, name const & x) {
return tactic01([=](environment const & env, io_state const & ios, proof_state const & s) {
proof_state new_s = s;
if (auto new_e = elaborate_with_respect_to(env, ios, elab, new_s, e)) {
name_generator ngen = new_s.get_ngen();
substitution subst = new_s.get_subst();
goals const & gs = new_s.get_goals();
goal const & g = head(gs);
auto tc = mk_type_checker(env, ngen.mk_child());
auto e_t_cs = tc->infer(*new_e);
if (e_t_cs.second)
return none_proof_state(); // constraints were generated
expr e_t = e_t_cs.first;
expr t = subst.instantiate(g.get_type());
name n;
if (is_constant(e))
n = const_name(e);
else if (is_local(e))
n = local_pp_name(e);
else
n = x;
expr new_t = mk_pi(n, e_t, abstract(t, *new_e));
expr new_m = g.mk_meta(ngen.next(), new_t);
expr new_v = g.abstract(mk_app(new_m, *new_e));
subst.assign(g.get_name(), new_v);
goal new_g(new_m, new_t);
return some(proof_state(new_s, goals(new_g, tail(gs)), subst, ngen));
}
return none_proof_state();
});
}
void initialize_generalize_tactic() {
register_tac(name({"tactic", "generalize"}),
[](type_checker &, elaborate_fn const & fn, expr const & e, pos_info_provider const *) {
check_tactic_expr(app_arg(e), "invalid 'generalize' tactic, invalid argument");
// TODO(Leo): allow user to provide name to abstract variable
return generalize_tactic(fn, get_tactic_expr_expr(app_arg(e)), "x");
});
}
void finalize_generalize_tactic() {
}
}