lean2/src/library/tactic/exact_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/type_checker.h"
#include "library/tactic/tactic.h"
#include "library/tactic/expr_to_tactic.h"
namespace lean {
tactic exact_tactic(expr const & _e) {
return tactic01([=](environment const & env, io_state const &, proof_state const & s) {
type_checker tc(env);
substitution subst = s.get_subst();
goals const & gs = s.get_goals();
goal const & g = head(gs);
expr e = subst.instantiate(_e);
auto e_t_cs = tc.infer(e);
expr e_t = subst.instantiate(e_t_cs.first);
expr t = subst.instantiate(g.get_type());
auto dcs = tc.is_def_eq(e_t, t);
if (dcs.first && !dcs.second && !e_t_cs.second) {
expr new_p = g.abstract(e);
check_has_no_local(new_p, _e, "exact");
subst.assign(g.get_name(), new_p);
return some(proof_state(s, tail(gs), subst));
} else {
return none_proof_state();
}
});
}
static expr * g_exact_tac_fn = nullptr;
expr const & get_exact_tac_fn() { return *g_exact_tac_fn; }
void initialize_exact_tactic() {
name exact_tac_name({"tactic", "exact"});
g_exact_tac_fn = new expr(Const(exact_tac_name));
register_tac(exact_tac_name,
[](type_checker &, elaborate_fn const &, expr const & e, pos_info_provider const *) {
// TODO(Leo): use elaborate_fn
return exact_tactic(app_arg(e));
});
}
void finalize_exact_tactic() {
delete g_exact_tac_fn;
}
}