feat(library/tactic): elaborate 'exact' tactic argument at tactic execution time
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2 changed files with 35 additions and 19 deletions
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@ -57,7 +57,7 @@ notation `intros` := intro_list expr_list.nil
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notation `intros` `(` l:(foldr `,` (h t, expr_list.cons h t) expr_list.nil) `)` := intro_list l
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opaque definition unfold {B : Type} (b : B) : tactic := builtin
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opaque definition exact {B : Type} (b : B) : tactic := builtin
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opaque definition exact (e : expr) : tactic := builtin
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opaque definition trace (s : string) : tactic := builtin
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infixl `;`:15 := and_then
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notation `[` h:10 `|`:10 r:(foldl 10 `|` (e r, or_else r e) h) `]` := r
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@ -5,29 +5,45 @@ Released under Apache 2.0 license as described in the file LICENSE.
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Author: Leonardo de Moura
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*/
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#include "kernel/type_checker.h"
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#include "library/unifier.h"
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#include "library/reducible.h"
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#include "library/tactic/tactic.h"
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#include "library/tactic/expr_to_tactic.h"
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namespace lean {
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tactic exact_tactic(expr const & _e) {
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return tactic01([=](environment const & env, io_state const &, proof_state const & s) {
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type_checker tc(env);
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tactic exact_tactic(elaborate_fn const & elab, expr const & e) {
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return tactic01([=](environment const & env, io_state const & ios, proof_state const & s) {
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name_generator ngen = s.get_ngen();
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substitution subst = s.get_subst();
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goals const & gs = s.get_goals();
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goal const & g = head(gs);
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expr e = subst.instantiate(_e);
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auto e_t_cs = tc.infer(e);
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expr e_t = subst.instantiate(e_t_cs.first);
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expr t = subst.instantiate(g.get_type());
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auto dcs = tc.is_def_eq(e_t, t);
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if (dcs.first && !dcs.second && !e_t_cs.second) {
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expr new_p = g.abstract(e);
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check_has_no_local(new_p, _e, "exact");
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subst.assign(g.get_name(), new_p);
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return some(proof_state(s, tail(gs), subst));
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} else {
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if (empty(gs))
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return none_proof_state();
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goal const & g = head(gs);
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expr new_e;
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buffer<constraint> cs;
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auto ecs = elab(g, ngen.mk_child(), e);
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new_e = ecs.first;
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to_buffer(ecs.second, cs);
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to_buffer(s.get_postponed(), cs);
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unifier_config cfg(ios.get_options());
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unify_result_seq rseq = unify(env, cs.size(), cs.data(), ngen.mk_child(), subst, cfg);
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if (auto p = rseq.pull()) {
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substitution new_subst = p->first.first;
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constraints new_postponed = p->first.second;
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new_e = new_subst.instantiate(new_e);
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bool relax_main_opaque = true;
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auto tc = mk_type_checker(env, ngen.mk_child(), relax_main_opaque);
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auto e_t_cs = tc->infer(new_e);
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expr t = new_subst.instantiate(g.get_type());
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auto dcs = tc->is_def_eq(e_t_cs.first, t);
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if (dcs.first && !dcs.second && !e_t_cs.second) {
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expr new_p = g.abstract(new_e);
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check_has_no_local(new_p, e, "exact");
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new_subst.assign(g.get_name(), new_p);
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return some(proof_state(tail(gs), new_subst, ngen, new_postponed));
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}
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}
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return none_proof_state();
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});
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}
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@ -39,9 +55,9 @@ void initialize_exact_tactic() {
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name exact_tac_name({"tactic", "exact"});
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g_exact_tac_fn = new expr(Const(exact_tac_name));
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register_tac(exact_tac_name,
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[](type_checker &, elaborate_fn const &, expr const & e, pos_info_provider const *) {
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// TODO(Leo): use elaborate_fn
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return exact_tactic(app_arg(e));
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[](type_checker &, elaborate_fn const & fn, expr const & e, pos_info_provider const *) {
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check_tactic_expr(app_arg(e), "invalid 'exact' tactic, invalid argument");
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return exact_tactic(fn, get_tactic_expr_expr(app_arg(e)));
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});
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}
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void finalize_exact_tactic() {
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